EntranceHow to convert cubic cm to cubic meters? How to convert liters to cubic centimeters, 6 cubic centimeters to meters.
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1 cubic meter [m³] = 1000000 cubic centimeter [cm³]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter Exaliter DEMALITRITRITER GIGALITRITRE IMGALITRIR HEXTOLIRER DECALITRIRER MICHLILIRER Microlyliter picoliter picoliter Figoliter attoliator cube (oil) Barrel British gallon British USA Varta Quarter British Pinta Pint British glass American glass (metric) glass British fluid ounce US fluid ounce British tablespoon amer. tablespoon (meter) tablespoon brit. American dessert spoon Brit dessert spoon teaspoon Amer. teaspoon metric teaspoon brit. gill, gill American gill, gill British minim American minim British cubic mile cubic yard cubic foot cubic inch register ton 100 cubic feet 100-foot cube acre-foot acre-foot (US, geodetic) acre-inch decaster ster decister cord tan hogshead plank foot drachma kor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) kab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket damask quarter wine bottle vodka bottle glass charka shalik
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Volume can also refer to the free space inside a container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit of volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
This is the same as 0.001 cubic meters. The mass of one liter of water at a temperature of 4°C is approximately equal to one kilogram. Milliliters, equal to one cubic centimeter or 1/1000 of a liter, are also often used. Milliliter is usually denoted as ml.
Jill
Gills are units of volume used in the United States to measure alcoholic beverages. One jill is five fluid ounces in the British Imperial system or four in the American system. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve strong drinks in portions of a quarter jill, or 35.5 milliliters. In Scotland, portions are smaller - one fifth of a jill, or 28.4 milliliters. In England, until recently, portions were even smaller, just one-sixth of a jill or 23.7 milliliters. Now, it’s 25 or 35 milliliters, depending on the rules of the establishment. The owners can decide for themselves which of the two portions to serve.
Dram
Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in pharmacy and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachms.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by mass.
Tea spoon
The volume of a teaspoon varies different systems measurements. Initially, one teaspoon was a quarter of a tablespoon, then - one third. It is the latter volume that is now used in the American measurement system. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common to use 5.9 milliliters, but some diet guides and cookbooks use 5 milliliters. The size of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for food.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, approximately 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters, if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
Cup
As a measure of volume, cups are not defined as strictly as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, and an American cup is slightly smaller, approximately 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes depending on the geographic region where they are used. In the Imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, accordingly, 1.1 liters in the American system, and approximately 1.14 liters in the Imperial system.
Pint
Pints are used to measure beer even in countries where the pint is not used to measure other liquids. In the UK, milk and cider are measured in pints. A pint is equal to one-eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of a gallon, and a gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, and an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains approximately 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the fluid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two quantities is the volume of the object being measured. For example, if when you lower an object into a cup with one liter of water, the volume of the liquid increases to two liters, then the volume of the object is one liter. In this way, you can only calculate the volume of objects that do not absorb liquid.
Formulas for calculating volume
Volume geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: length of an edge to the third power.
Ellipsoid: product of semi-axes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, then it can be calculated using the edge and the angle it makes with the base. If we call the edge A, corner A, length - l, and the width is w, then the volume of the parallelepiped V equal to:
V = l w a cos( A)
This volume can also be calculated using the properties of right triangles.
Cone: radius squared times height and ⅓π.
Ball: radius to the third power multiplied by 4/3π.
Cylinder: product of the area of the base of the cylinder, height, and π: V=π r² h, where r is the radius of the cylinder and h is its height
The ratio between the volumes of cylinder:ball:cone is 3:2:1.
Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question in TCTerms and within a few minutes you will receive an answer.
Length and distance converter Mass converter Converter of volume measures of bulk products and food products Area converter Converter of volume and units of measurement in culinary recipes Temperature converter Converter of pressure, mechanical stress, Young's modulus Converter of energy and work Converter of power Converter of force Converter of time Linear speed converter Flat angle Converter thermal efficiency and fuel efficiency Converter of numbers in various number systems Converter of units of measurement of quantity of information Currency rates Women's clothing and shoe sizes Men's clothing and shoe sizes Angular velocity and rotation frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion converter (by mass) Energy density and specific heat of combustion converter (by volume) Temperature difference converter Coefficient of thermal expansion converter Thermal resistance converter Thermal conductivity converter Specific heat capacity converter Energy exposure and thermal radiation power converter Heat flux density converter Heat transfer coefficient converter Volume flow rate converter Mass flow rate converter Molar flow rate converter Mass flow density converter Molar concentration converter Mass concentration in solution converter Dynamic (absolute) viscosity converter Kinematic viscosity converter Surface tension converter Vapor permeability converter Water vapor flow density converter Sound level converter Microphone sensitivity converter Converter Sound Pressure Level (SPL) Sound Pressure Level Converter with Selectable Reference Pressure Luminance Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and Wavelength Converter Diopter Power and Focal Length Diopter Power and Lens Magnification (×) Converter electric charge Linear charge density converter Surface charge density converter Volume charge density converter Electric current converter Linear current density converter Surface current density converter Electric field strength converter Electrostatic potential and voltage converter Electrical resistance converter Electrical resistivity converter Electrical conductivity converter Electrical conductivity converter Electrical capacitance Inductance Converter American Wire Gauge Converter Levels in dBm (dBm or dBm), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing radiation absorbed dose rate converter Radioactivity. Radioactive decay converter Radiation. Exposure dose converter Radiation. Absorbed dose converter Decimal prefix converter Data transfer Typography and image processing unit converter Timber volume unit converter Calculation of molar mass Periodic table of chemical elements by D. I. Mendeleev
1 cubic meter [m³] = 1000000 cubic cm [cm³]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter Exaliter DEMALITRITRITER GIGALITRITRE IMGALITRIR HEXTOLIRER DECALITRIRER MICHLILIRER Microlyliter picoliter picoliter Figoliter attoliator cube (oil) Barrel British gallon British USA Varta Quarter British Pinta Pint British glass American glass (metric) glass British fluid ounce US fluid ounce British tablespoon amer. tablespoon (meter) tablespoon brit. American dessert spoon Brit dessert spoon teaspoon Amer. teaspoon metric teaspoon brit. gill, gill American gill, gill British minim American minim British cubic mile cubic yard cubic foot cubic inch register ton 100 cubic feet 100-foot cube acre-foot acre-foot (US, geodetic) acre-inch decaster ster decister cord tan hogshead plank foot drachma kor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) kab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket damask quarter wine bottle vodka bottle glass charka shalik
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Volume can also refer to the free space inside a container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit of volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
This is the same as 0.001 cubic meters. The mass of one liter of water at a temperature of 4°C is approximately equal to one kilogram. Milliliters, equal to one cubic centimeter or 1/1000 of a liter, are also often used. Milliliter is usually denoted as ml.
Jill
Gills are units of volume used in the United States to measure alcoholic beverages. One jill is five fluid ounces in the British Imperial system or four in the American system. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve strong drinks in portions of a quarter jill, or 35.5 milliliters. In Scotland, portions are smaller - one fifth of a jill, or 28.4 milliliters. In England, until recently, portions were even smaller, just one-sixth of a jill or 23.7 milliliters. Now, it’s 25 or 35 milliliters, depending on the rules of the establishment. The owners can decide for themselves which of the two portions to serve.
Dram
Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in pharmacy and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachms.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by mass.
Tea spoon
The volume of a teaspoon is different in different measurement systems. Initially, one teaspoon was a quarter of a tablespoon, then - one third. It is the latter volume that is now used in the American measurement system. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common to use 5.9 milliliters, but some diet guides and cookbooks use 5 milliliters. The size of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for food.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, approximately 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters, if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
Cup
As a measure of volume, cups are not defined as strictly as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, and an American cup is slightly smaller, approximately 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes depending on the geographic region where they are used. In the Imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, accordingly, 1.1 liters in the American system, and approximately 1.14 liters in the Imperial system.
Pint
Pints are used to measure beer even in countries where the pint is not used to measure other liquids. In the UK, milk and cider are measured in pints. A pint is equal to one-eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of a gallon, and a gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, and an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains approximately 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the fluid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two quantities is the volume of the object being measured. For example, if when you lower an object into a cup with one liter of water, the volume of the liquid increases to two liters, then the volume of the object is one liter. In this way, you can only calculate the volume of objects that do not absorb liquid.
Formulas for calculating volume
The volume of geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: length of an edge to the third power.
Ellipsoid: product of semi-axes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, then it can be calculated using the edge and the angle it makes with the base. If we call the edge A, corner A, length - l, and the width is w, then the volume of the parallelepiped V equal to:
V = l w a cos( A)
This volume can also be calculated using the properties of right triangles.
Cone: radius squared times height and ⅓π.
Ball: radius to the third power multiplied by 4/3π.
Cylinder: product of the area of the base of the cylinder, height, and π: V=π r² h, where r is the radius of the cylinder and h is its height
The ratio between the volumes of cylinder:ball:cone is 3:2:1.
Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question in TCTerms and within a few minutes you will receive an answer.
1 m³ = 1,000,000 cm³ = 1,000,000,000 mm³ = 1,000 liters ≈ 35.3 cubic feet ≈ 1.31 cubic yards ≈ 6.29 barrels.
A cubic meter of pure water at its maximum density temperature (3.98 °C) and standard atmospheric pressure (101.325 kPa) has a mass equal to 1000 kg = 1 ton. At 0°C, the freezing point of water, it is slightly lighter at 999.972 kg.
Wikimedia Foundation. 2010.
See what “Cubic centimeter” is in other dictionaries:
cubic centimeter- - [A.S. Goldberg. English-Russian energy dictionary. 2006] Topics of energy in general EN cubic centimeterCC ... Technical Translator's Guide
cubic centimeter- cubic measure of the metric system = 0.000001 cubic meter = 0.061024 cubic. inches = 0.011386 cu. top; The abbreviation for cubic centimeter legalized in the USSR: Russian “cm3” or “cub. cm”, Latin “cm3”...
This article contains an unfinished translation from in English. You can help the project by translating it to completion. The request "sm" is redirected here, see also "... Wikipedia
centimeter- CENTIMETER, CENTIMETER a, m. centimètre m. 1. A unit of length in the metric system, equal to one hundredth of a meter. BAS 1. You must have a porphyry or granite slab, round or oval, having about sixty centimeters in... ... Historical Dictionary of Gallicisms of the Russian Language
Abbreviations- And on the bill of exchange means that the bill has been accepted. a., arsh. arshin. and ar. a2. square arshin, a3. cubic arshin. an. f. (an. pound) English pound. b. g., b/y next year. b. m., b/m next month. B.M.O., b.m/o without my responsibility... ... Reference commercial dictionary
density- 3.1 density: A value determined by the ratio of the mass of a substance to the volume it occupies. Source: GOST 8.024 2002: State...
GOST R 52918-2008: Refractories. Terms and Definitions- Terminology GOST R 52918 2008: Refractories. Terms and definitions original document: 100 activating refractory additive: A refractory additive that helps increase the degree and speed of physical chemical processes during its manufacture... ... Dictionary-reference book of terms of normative and technical documentation
The most important units of mechanical quantities, space and time- Value Name Dimension Designation Contains SI units Russian international Length, width, height, thickness meter L m (m) m astronomical unit a. e. 1 a. e. = 1.49600∙1011 m parsec pc pc ...
The most important units of thermal quantities- Value Name Dimension Designation Contains SI units Russian international Thermodynamic temperature (temperature) kelvin q K (°K) K Temperature Celsius on a practical temperature scale degrees Celsius q °С °С t°=T T0, where t° … Veterinary encyclopedic dictionary
One liter is equal to the volume of a cube, each side of which is 10 cm 1 liter of water = 1 kg (at 4 °C) Liter (l, l, L, ℓ) is a metric unit of volume. Liter is not a unit... Wikipedia
Length and distance converter Mass converter Converter of volume measures of bulk products and food products Area converter Converter of volume and units of measurement in culinary recipes Temperature converter Converter of pressure, mechanical stress, Young's modulus Converter of energy and work Converter of power Converter of force Converter of time Linear speed converter Flat angle Converter thermal efficiency and fuel efficiency Converter of numbers in various number systems Converter of units of measurement of quantity of information Currency rates Women's clothing and shoe sizes Men's clothing and shoe sizes Angular velocity and rotation frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion converter (by mass) Energy density and specific heat of combustion converter (by volume) Temperature difference converter Coefficient of thermal expansion converter Thermal resistance converter Thermal conductivity converter Specific heat capacity converter Energy exposure and thermal radiation power converter Heat flux density converter Heat transfer coefficient converter Volume flow rate converter Mass flow rate converter Molar flow rate converter Mass flow density converter Molar concentration converter Mass concentration in solution converter Dynamic (absolute) viscosity converter Kinematic viscosity converter Surface tension converter Vapor permeability converter Water vapor flow density converter Sound level converter Microphone sensitivity converter Converter Sound Pressure Level (SPL) Sound Pressure Level Converter with Selectable Reference Pressure Luminance Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and Wavelength Converter Diopter Power and Focal Length Diopter Power and Lens Magnification (×) Converter electric charge Linear charge density converter Surface charge density converter Volume charge density converter Electric current converter Linear current density converter Surface current density converter Electric field strength converter Electrostatic potential and voltage converter Electrical resistance converter Electrical resistivity converter Electrical conductivity converter Electrical conductivity converter Electrical capacitance Inductance Converter American Wire Gauge Converter Levels in dBm (dBm or dBm), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing radiation absorbed dose rate converter Radioactivity. Radioactive decay converter Radiation. Exposure dose converter Radiation. Absorbed dose converter Decimal prefix converter Data transfer Typography and image processing unit converter Timber volume unit converter Calculation of molar mass Periodic table of chemical elements by D. I. Mendeleev
1 cubic meter [m³] = 1000000 cubic centimeter [cm³]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter Exaliter DEMALITRITRITER GIGALITRITRE IMGALITRIR HEXTOLIRER DECALITRIRER MICHLILIRER Microlyliter picoliter picoliter Figoliter attoliator cube (oil) Barrel British gallon British USA Varta Quarter British Pinta Pint British glass American glass (metric) glass British fluid ounce US fluid ounce British tablespoon amer. tablespoon (meter) tablespoon brit. American dessert spoon Brit dessert spoon teaspoon Amer. teaspoon metric teaspoon brit. gill, gill American gill, gill British minim American minim British cubic mile cubic yard cubic foot cubic inch register ton 100 cubic feet 100-foot cube acre-foot acre-foot (US, geodetic) acre-inch decaster ster decister cord tan hogshead plank foot drachma kor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) kab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket damask quarter wine bottle vodka bottle glass charka shalik
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Volume can also refer to the free space inside a container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit of volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
This is the same as 0.001 cubic meters. The mass of one liter of water at a temperature of 4°C is approximately equal to one kilogram. Milliliters, equal to one cubic centimeter or 1/1000 of a liter, are also often used. Milliliter is usually denoted as ml.
Jill
Gills are units of volume used in the United States to measure alcoholic beverages. One jill is five fluid ounces in the British Imperial system or four in the American system. One American jill is equal to a quarter of a pint or half a cup. Irish pubs serve strong drinks in portions of a quarter jill, or 35.5 milliliters. In Scotland, portions are smaller - one fifth of a jill, or 28.4 milliliters. In England, until recently, portions were even smaller, just one-sixth of a jill or 23.7 milliliters. Now, it’s 25 or 35 milliliters, depending on the rules of the establishment. The owners can decide for themselves which of the two portions to serve.
Dram
Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in pharmacy and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachms.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by mass.
Tea spoon
The volume of a teaspoon is different in different measurement systems. Initially, one teaspoon was a quarter of a tablespoon, then - one third. It is the latter volume that is now used in the American measurement system. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common to use 5.9 milliliters, but some diet guides and cookbooks use 5 milliliters. The size of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for food.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, approximately 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters, if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
Cup
As a measure of volume, cups are not defined as strictly as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, and an American cup is slightly smaller, approximately 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes depending on the geographic region where they are used. In the Imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, accordingly, 1.1 liters in the American system, and approximately 1.14 liters in the Imperial system.
Pint
Pints are used to measure beer even in countries where the pint is not used to measure other liquids. In the UK, milk and cider are measured in pints. A pint is equal to one-eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of a gallon, and a gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, and an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains approximately 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the fluid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two quantities is the volume of the object being measured. For example, if when you lower an object into a cup with one liter of water, the volume of the liquid increases to two liters, then the volume of the object is one liter. In this way, you can only calculate the volume of objects that do not absorb liquid.
Formulas for calculating volume
The volume of geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: length of an edge to the third power.
Ellipsoid: product of semi-axes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height.
Parallelepiped: product of length, width and height. If the height is unknown, then it can be calculated using the edge and the angle it makes with the base. If we call the edge A, corner A, length - l, and the width is w, then the volume of the parallelepiped V equal to:
V = l w a cos( A)
This volume can also be calculated using the properties of right triangles.
Cone: radius squared times height and ⅓π.
Ball: radius to the third power multiplied by 4/3π.
Cylinder: product of the area of the base of the cylinder, height, and π: V=π r² h, where r is the radius of the cylinder and h is its height
The ratio between the volumes of cylinder:ball:cone is 3:2:1.
Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question in TCTerms and within a few minutes you will receive an answer.
Therefore, in 1 cubic meter there are 100 cubic cm in a cube
And given: x m cubic - 1000 cm cubic
We got the most ordinary proportion, we solve it crosswise, we get:
x= 1 * 1000/100 * 100 * 100 (100 cubed)
It turns out x = 0.001 or 1*10 to the power of minus 3 (if this is more convenient for solving the problem)
It is known that in 1 dm there are 10 cm
Then in 1 cubic dm there are 10 cubic cm per cube (i.e. 10 * 10 * 10 = 1000)
If we are talking about a size - cubic cm or meters, then we simply raise it to the appropriate power, in this case - 3.
Thus we get the following: in 1 cubic. m will be 1,000,000 cubic meters. cm. We cubed the number of centimeters in one meter. You can do the same with other quantities.
I know that there are exactly 100 centimeters in one meter. Further, there are exactly 10 decimeters in one meter, and exactly 10 centimeters in one decimeter.
1 m = 100 cm. Hence 1 cm = 0.01 m.
1 dm. = 10 cm. Hence 1 cm = 0.1 dm.
1 m. = 10 dm. Hence 1 dm. = 0.1 m.
Square means we square it, cubic means we raise it into a cube. The result is the following:
In 1 cubic m = 1,000,000 cubic meters cm. That is, the number of centimeters in one meter was raised to a cube. Same with all other quantities. In 1 cubic m. = 1,000 cubic meters dm. In 1 cubic dm. = 1,000 cubic meters see. It's all mathematics.
Well, and vice versa, In 1 cubic meter. cm = 0. 000 001 cubic meters m.
In order to use ready-made answers without calculations or test yourself, you can use a special translator, for example here
1. Convert cubic centimeters to cubic meters or cm3 to m3
100 cm, so in 1 cm=1/100 m=0.01 m
Now, to explain more clearly, let’s write it down in detail like this:
1cm3=1cm x 1cm x 1cm =0.01m x0.01m x 0.01m = 0.000 001 m3,
those. to convert cm3 to m3 you need to divide the number of cm3 by 1,000,000 (1 million)
Examples of converting 1000 cm3 to m3:
option 1 1,000 cm3= 1,000 x 1 cm3= 1,000 x 0.000,001 m3=0.001 m3
option 2 1,000 cm3 =1,000/1,000,000 =0.001 m3
Examples of converting 3000 cm3 to m3:
option 1 3,000 cm3= 3,000 x 1 cm3= 3,000 x0.01m x0.01m x 0.01m= 3,000 x 0.000,001 m3=0.003 m3
option 2 3,000 cm3 =3,000/1,000,000 =0.003 m3
____________________________________________________________________________ shy; ______________________________
2. Convert cubic meters to cubic centimeters, that is, m3 to cm3
3. Convert cubic decimeters to cubic centimeters or dm3 to cm3
1 dm3= 10 cm x 10 cm x 10 cm = 1000 cm3, that is, for translation you need multiply the number of decimeters by 1000.
come on! Didn't you go to school???
It is known that there are 100 centimeters in one meter. when we are dealing with volume, our values grow in three directions - length, width and height.
Calculator for converting square meters to cubic meters
therefore, to convert cubic centimeters to cubic meters, you need to divide the value not by 100, but by a million, i.e. must be multiplied by 10 to the -6 power.
respectively, 1cub.m. equal to a million cubic cm.
and 1000cub.m. equals 1 billion cubic cm.
with decimeters it’s exactly the same: because. There are 10 centimeters in 1 decimeter, then 1 cubic dm. equal to 1000 cc.
To convert cubic centimeters to cubic meters centimeters must be divided by 1000000(one million). For example, we need to convert 3000 cubic centimeters to cubic meters, divide 3000 by 1000000 and get 0.3 cubic meters.
OOO, this is also primary school mathematics * - *, oh this magnificent time when we were little and we were just taught to count and convert from meters to centimeters, etc. Well, this is such a small digression :) Well, for example, here: 1,000 cm3 = 1,000 x 1 cm3 = 1,000 x 0.000 001 m3 = 0.001 m3
Lesson 53 “Cubic decimeter and cubic centimeter” (1 lesson)
Subject tasks:
- continuation of the line on the study of units of volume measurement - the relationship between cubic decimeter and cubic centimeter:
1 cu. dm = 1000 cubic meters
Unit converter
- solving problems using the studied units of volume measurement:
1 cubic cm, cu. dm;
Formation of UUD:Cognitive UUD: use of tables, comparison and contrast of units of volume measurement in the conditions of performing tasks. Regulatory: ability to determine lesson objectives, analyze achieved results Communicative: the ability to express one’s opinion and argue one’s point of view, to manage the actions of a partner Personal: focus on self-analysis and self-monitoring of results, on analyzing the compliance of results with the requirements of a specific task, on understanding the suggestions and assessments of teachers and comrades
Propaedeutics: measuring the volumes of geometric shapes.
Repetition: column addition and subtraction algorithm.
Methods and techniques for organizing student activities: conversation, organization independent work students according to textbook assignments. Educational and methodological support: U-1, T-1.
Introductory part of the lesson
Students voice the topic of the lesson, look at p.94 of the textbook and make the assumption that in the lesson we will learn that 1 cubic meter. dm = = 1000 cubic meters see, we will learn to express the volume in cubic centimeters, given in cubic decimeters and cubic centimeters, to perform multiple comparisons of two given volumes.
We ask questions from the textbook, demanding detailed answers.
— What is the volume of a cube with an edge of 1 cm? (The volume of a cube with an edge of 1 cm is equal to 1 cubic cm)
— What can you call a unit of volume represented by a cube with an edge of 1 dm? (a unit of volume represented by a cube with an edge of 1 dm can be called a cubic decimeter)
— How many centimeters are in 1 decimeter? (There are 10 cm in one decimeter)
We write on the board: 1 dm = 10 cm
— How many square centimeters are in 1 square decimeter? (1 sq. dm – 100 sq. cm)
We supplement the entry on the board: 1 dm = 10 cm 1 sq. dm = 100 sq. cm
DECIMETER (p. 116) and answer the question: how many cubic centimeters are in 1 CUBIC DECIMETER? (1 cubic dm – 1000 cubic cm)
We draw the students’ attention to the blue block and invite them to prove the validity of the equation: 1 cubic dm – 1000 cubic meters. cm
We call a student to the board who performs the appropriate transformation: 1 cubic. dm = 1 dm ∙ 1 dm ∙ 1 dm = 10 cm ∙ 10 cm ∙ 10 cm =
1000 cc cm
Task No. 318 (U – 1, p. 94)
We ask how many cubes with a side of 1 dm can be placed on the bottom of a box whose length is 3 dm and width is 2 dm? (3 cubic meters ∙ 2 rows = 6 cubic meters) We find out that the height of the box is 1 dm, which means that the box will contain
1 layer containing 6 cubes, therefore, the box CAPACITIES 6 cubes. We conclude that the CAPACITY of the box is equal to 6 cubic decimeters, since the volume of one cube with a side of 1 dm is equal to 1 cubic meter. dm.
Task No. 319 (U – 1, p. 94)
Expected answer: the segment needs to be increased 10 times, since 1 cm ∙ 10 = 10 cm = 1 dm
Expected answer: we perform a multiple comparison of values: 1 sq. dm: 1 sq. cm = 100 sq. cm: 1 sq. cm = 100 (times), means 1 sq. cm less than 1 square. dm 100 times.
We invite students to independently answer the third requirement of the task: how many times is 1 cubic meter? cm less than 1 cu. dm? (pause) We check by calling one of the students to the board:
1 cu. dm: 1 cu. cm = 1000 cc dm: 1 cu. cm = 1000 (times), Means,
1 cu. cm less than 1 cu. dm 1000 times.
Task No. 320 (U – 1, p. 94)
We illustrate a sample design:
1 cu. dm + 500 cu. cm = 1000 cc cm + 500 cc cm = 1500 cc cm Students complete the rest of the tasks independently, then compare the results.
Task No. 321 (U – 1, p. 94)
Students read and complete the assignment independently. We give time to complete, check by projecting sample solutions onto the board: 326,532 cubic meters. dm + 867543 cu.m. dm = 1194075 cubic dm 326532
+ 867543
1785634 cu.m. dm – 1423156 cubic meters. dm = 362478 cubic dm
— 1423156
Task No. 322 (U – 1, p. 95)
On the board we illustrate the conversion of cubic decimeters and cubic centimeters to cubic centimeters: 1 cubic. dm 500 cubic meters cm = 1 cc + 500 cc cm == 1000 cc. cm + 500 cc cm= 1500 cu. cm.
We emphasize those actions that can be performed orally and suggest making a short note:
1 cu. dm 500 cubic meters cm = 1500 cc cm.
We organize verification by reading the deployed solutions along the chain.
1 cu. dm 10 cu. cm = 1000 cc cm + 10 cu. cm = 1010 cc cm
cube dm 5 cu. cm = 5000 cc cm + 5 cu. cm = 5005 cc cm
10 cu. dm 10 cu. cm = 10000 cc. cm + 10 cc cm = 10010 cc. cm
Task No. 323 (U – 1, p. 95)
We give time to fill out the table, check orally by reading the answers in a chain or by projecting the answers on the board:
We ask how many cups of water you need to take to get 1 cubic meter. dm of water?
Expected answer: 4 cups, since 1 cu. dm = 1000 cubic meters cm.
Task No. 324* (U – 1, p. 95)
Students read the problem, express it in their own words, and make suggestions about how to calculate the size of a new aquarium. Expected answer: this aquarium is half filled with water. In order for the new aquarium to be completely filled with this amount of water, a smaller aquarium is needed. This could be an aquarium whose height is 2 times less than this aquarium. Write a short note on the board. solution and answer to the problem:
Length – 6 dm
Width – 5 dm
Height – 4 dm
4 dm: 2 = 2 dm – height of the new aquarium
Answer: dimensions of the new aquarium: length – 6 dm, width – 5 dm, height – 2 dm.
We ask, is it possible to solve it differently? (yes, you can reduce the length of the aquarium by 2 times)
We write down on the board another solution and answer to the problem: 6 dm: 2 = 3 dm Answer: dimensions of the new aquarium: length - 3 dm, width - 5 dm, height - 4 dm.
We ask, how else can this problem be solved? (can be reduced by
2 times the width of the aquarium)
We invite students to write down the solution and answer to the problem on their own (pause)
We check by calling one of the students to the board: 5 dm: 2 = 50 cm: 2 = 25 cm Answer: dimensions of the new aquarium: length - 3 dm, width - 25 cm, height - 4 dm.
∙ To prove the correctness of each of the proposed solutions, we invite students to check the capacity of each new aquarium.
We write on the board:
1 aquarium: 6 dm ∙ 5 dm ∙ 2 dm = 60 cubic meters. dm
2nd aquarium: 3 dm ∙ 5 dm ∙ 4 dm = 60 cubic meters. dm
3 aquarium: 6 dm ∙ 25 cm ∙ 4 dm = 60 cm ∙ 25 cm ∙ 40 cm = 60,000 cubic meters. cm =
We conclude that if the capacity of the aquariums is the same, then all three solutions are correct!
Task No. 325 (U – 1, p. 95)
Students read the assignment independently. We ask, what transformations can be made in order to arrange these volumes in ascending order?
Expected answer: all volumes can be expressed in cubic centimeters.
We write on the board and explain again:
10 cu. dm 5 cu. cm = 10000 cc. cm + 5 cu. cm = 10005 cc cm
Students perform the following transformations independently:
10 cu. dm 50 cu. cm = 10000 cc. cm + 50 cu. cm = 10050 cc cm
10 cu. dm 555 cu. cm = 10000 cc. cm + 555 cc cm = 10555 cc cm
We write down all volumes on the board and simultaneously in notebooks, but in the same units of measurement: 10,500 cubic meters. cm 10005 cu.m. cm 10550 cc cm
10050 cu.m. cm 15000 cc cm 10555 cc cm
We arrange the volumes expressed in the same units in ascending order in a column, and on the right we write down the answer to the task requirement, arranging the volumes expressed in different units of measurement in ascending order. Answer:
10005 cu.m. cm 10 cu. dm 5 cu. cm
10050 cu.m. cm 10 cu. dm 50 cu. cm 10500 cc cm 10500 cc cm 10550 cc cm 10 cu. dm 50 cu. cm
10555 cc cm 10 cu. dm 555 cu. cm 15000 cc cm 15000 cc cm
Task No. 326 (U – 1, p. 95)
We find out that to perform a multiple comparison of these volumes, you need to express them in the same units of measurement - cubic centimeters.
We write on the board: 10 cubic meters. dm = 10000 cubic meters cm
Homework: No. 135 – 136 (T – 1, p. 73)
Converting cubic centimeters to cubic meters
Cube conversion table
A significant part of construction work requires measurement in volume units. This is, first of all, concreting and bricklaying, earthworks. Often, the amount of materials brought is measured in cubic units, and the volume of garbage removed can also be measured in cubic units. Both during design, construction, and in the process of laboratory research, this table for converting volume units will be useful.
The table shows the following units: cubic meter, cubic decimeter, cubic centimeter, cubic millimeter, hecto-liter, deciliter, liter, deciliter, centiliter, milliliter and microliter.
Some of the units given are rare in practice, but the table would not be complete without them.
For each unit of volume, a separate table of conversion to other units through coefficients has been compiled.
Example: It is required to express the value of 0.6 m3 in other units of measurement.
Let's look at the correspondence table for 1 square meter and, one by one, multiply our value by the conversion factors.
- As a result of calculations, we determine that 0.6 m2 is:
- 600 cubic decimeters;
- 600,000 or 6×105 cubic centimeters;
- 6×108 cubic millimeters;
- 6 hectoliters;
- 60 deciliters;
- 600 liters;
- 6000 deciliters;
- 60,000 centiliters;
- 600,000 milliliters;
- 6x108 microliters.
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Students often have difficulty converting one unit of measurement to another. Hence a lot of questions like:
- How many liters are in a cube?
- 1 cubic meter - how many liters is it?
- How many liters in a cube of water?
- How many liters are in a cube of gas, propane, gasoline, sand, earth, expanded clay?
- How many liters of methane, liquefied gas are in a cube?
- How to convert cm cubed or dm cube to liters?
- A cube of concrete, gasoline, diesel fuel, diesel fuel - how many liters is that?
Next, we can identify a group of more specific questions, for example, how many liters are in a cube of water in a bath or how many cubes are in a 200-liter barrel, or in a 10-liter bucket? How many cubic meters is 40 liters of dry hydrogen? These questions are relevant both for students when solving various problems, and for practical purposes, for example, when buying some kind of water container. Let's look into this issue thoroughly, let's remember, so to speak, checkmate. part so that at any time you can easily convert cubes into liters, and of course back.
Let us first pay attention to the fact that, regardless of the substance placed in the container, the conversion from liters to cubes will always be the same, be it water, gas, sand or gasoline.
How many liters are in 1 cubic liter?
Let's start with a lyrical digression, namely with the course school physics. It is known that the generally accepted unit of volume measurement is the cubic meter.
1 cubic meter is the volume of a cube whose side is exactly one meter. This unit is not always convenient and it is for this reason that others are very often used - liters - also known as cubic decimeters and cubic centimeters.
As practice has shown, the most convenient unit of measurement of volume is the liter, which is the volume of a cube whose length is 1 dm or 10 cm. Thus, we find that all the questions of how to convert a dm cube into cubes are equivalent to the question of how to convert liters into cubes, because 1 dm. cube = 1 liter.
Formula for converting the volume of a cube into liters
1 cu. m = 1000 l (formula for the volume of a cube in liters)
Formula for converting liters to cubic meters
1 l = 0.001 cu. m
And now, armed with all the necessary knowledge, we can proceed directly to the calculations.
| Problem #1: How many liters are in 0.5 cubes? Solution: Using the above formula we get: 0.5 * 1000 = 500 liters. Answer: 0.5 cubes contain 500 liters. |
Problem #6: How many liters are in 300 cubic meters? Solution: 300 * 1000 = 300,000 liters Answer: 300 cubic meters contain 300 thousand liters. |
| Problem #2: How many liters are there in 1 cubic meter? (the easiest) Solution: 1 * 1,000 = 1,000 liters. Answer: 1 cube contains 1,000 liters. |
Problem #7: 5 cubes - how many liters? Solution: 5 * 1000 = 5,000 liters Answer: 5 cubic meters is 5 thousand liters. |
| Problem #3: 2 cubes – how many liters? Solution: 2 * 1,000 = 2,000 liters. Answer: 2 cubes contain 2,000 liters. |
Problem #8: 6 cubic meters is how many liters? Solution: 6 * 1000 = 6,000 liters. Answer: 6 cubes contain 6 thousand liters. |
| Problem #4: How many liters are in 10 cubes? Solution: 10 * 1000 = 10,000 liters Answer: 10 cubes contain 10 thousand liters. |
Problem #9: How many liters are 4 cubes? Solution: 4 * 1000 = 4,000 liters Answer: 4 cubes contain 4 thousand liters. |
| Problem #5: 20 cubic meters is how many liters? Solution: 20 * 1000 = 20,000 liters Answer: 20 cubes contain 20 thousand liters. |
Problem #10: How many liters are 500 cubic meters? Solution: 500 * 1000 = 500,000 liters Answer: 500 cubic meters contain 500 thousand liters. |
How many cubes are there in N liters?
Let us now consider the inverse problems of finding the number of cubes in the specified number of liters.
| Problem #1: How many cubes are there in 100 liters? Solution: 100 * 0.001 = 0.1 cubic meters meter. Answer: 100 liters is 0.1 cubic meters. |
Problem #6: How many cubes are there in 1500 liters? Solution: 1500 * 0.001 = 1.5 cubic meters. Answer: 1500 liters are 1.5 cubic meters. |
| Problem #2: How many cubes are there in 200 liters? Solution: 200 * 0.001 = 0.2 cubic meters meters. Answer: 200 liters are 0.2 meters. |
Problem #7: How many cubes are there in 3000 liters? Solution: 3000 * 0.001 = 3 cubic meters. Answer: 3000 liters are 3 cubic meters. |
| Problem #3: How many cubes are there in 140 liters? Solution: 140 * 0.001 = 0.14 cubic meters. Answer: 140 liters are 0.14 cubic meters. |
Problem #8: How many cubes are there in 5000 liters? Solution: 5000 * 0.001 = 5 cubic meters. Answer: 5,000 liters are 5 cubic meters. |
| Problem #4: How many cubes are there in 500 liters? Solution: 500 * 0.001 = 0.5 cubic meters. Answer: 500 liters are 0.5 cubic meters. |
Problem #9: How many cubes are there in 10,000 liters? Solution: 10,000 * 0.001 = 10 cubic meters m. Answer: in 10,000 liters there are 10 cubic meters. m. |
| Problem #5: How many cubes are there in 1000 liters? Solution: 1000 * 0.001 = 1 cubic meter. Answer: 1000 liters are 1 cubic meter. |
Problem #10: How many cubes are there in 30,000 liters? Solution: 30,000 * 0.001 = 30 cubic meters m. Answer: in 30,000 liters there are 30 cubic meters. m. |
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