How to convert cubes to liters? You will find out the answer to this question by reading this article.

Students often have difficulty converting one unit of measurement to another. Hence a lot of questions like:

• 1 cubic meter - how many liters is it?
• How many liters are in a cube of water?
• How many liters of gas, propane, gasoline, sand, earth, expanded clay are in a cube?
• How many liters of methane, liquefied gas are in a cube?
• How to convert cm cubed (cm 3) or dm cube (cm 3) 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, and in a bath? Or how many cubes are in a barrel with a volume of 200 liters, and in a bucket, and in 10 liters? 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, remember, so to speak, the hardware, so that at any moment you can easily convert cubes into liters, and, of course, back.

How many liters are in 1 cubic liter?

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 from a school physics course. 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 volume measurement 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: 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

Examples of converting liters to cubes

And now, armed with all the necessary knowledge, we can proceed directly to the calculations.

Task #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 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 is 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: 4 cubes how many liters? 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: 500 cubic meters how many liters? Solution: 500 * 1000 = 500,000 liters Answer: 500 cubic meters contain 500 thousand liters.

Examples: how to convert cubes to liters?

Let us now consider the inverse problems of finding the number of cubes in the specified number of liters.

Task #1: How many cubes are there in 100 liters? Solution: 100 * 0.001 = 0.1 cu. 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 cu. meters. Answer: in 200 liters 0.2 m. meters.	Problem #7: How many cubes are there in 3000 liters? Solution: 3000 * 0.001 = 3 cubic meters. Answer: in 3000 liters - 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: in 5,000 liters - 5 cubic meters.
Problem #4: How many cubes are there in 500 liters? Solution: 500 * 0.001 = 0.5 cubic meters. Answer: 500 liters 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 - 10 cubic meters. m.
Problem #5: How many cubes are there in 1000 liters? Solution: 1000 * 0.001 = 1 cubic meter. Answer: There is 1 cubic meter in 1000 liters.	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.

To make calculations faster, we suggest you use our online calculators:

• cubes to liters conversion calculator

If you have any questions on this topic, or you need help in solving the problem of converting cubes to liters or liters to cubes, then leave them below in the comments.

Very often, buyers of tanks, reservoirs and other containers have the following questions:

• 1 cube is how many liters?
• How many cubic cm (cubic centimeters), dm cube are in a liter?
• How many liters of gas, propane, earth, solution are in a cube?
• How many liters are in a cube of concrete, diesel fuel?
• How many liters are in a cubic meter (cubic meter)?
• How many liters of air are in a cube?

Further, we can identify groups of questions that are more clarifying, for example, how many cubes is the tank 50 liters? Or 500, 5000, 3000, 200 liters - how many cubic meters is that? These questions are relevant when you need to buy a container of 50, 100, 200 liters - while manufacturers offer containers of 5, 10, 15 cubic meters. Let's figure out how to convert cubes to liters and vice versa. Whether such transfers between units of measurement depends on the substance that will be placed in the container.

Converting cubes to liters

First, a short digression into the school physics course. The generally accepted unit of volume measurement, as is known, is the cubic meter. Represents 1 cu. m. - the volume of a cube, the side of which is equal to one meter. This unit is not always convenient, so others are often used - cubic centimeters, and cubic decimeters - liters.

In everyday life, the most convenient unit of measurement is the liter - the volume of a cube, the side of which is 10 cm or 1 dm. Thus, we get the following ratio: 1 liter = 1 dm3.

From here we get the following forms:

1 cu. m = 1000 l (formula for the volume of a cube in liters)

• How many liters are 0.5 cubic meters? Solution: 0.5*1000=500 liters. Answer: 500 liters.
• How many liters are 10 cubic meters? Solution: 10*1000=10,000 liters. Answer: 10,000 liters.
• How many liters is 2 cubes? Solution: 2*1000=2,000 liters. The answer is 2,000 liters.
• How many liters is 20 cubic meters? Solution: 20*1000=20,000 liters. The answer is 20,000 liters.
• 30 cubic meters is how many liters? Answer: 30,000 liters.
• 300 cubic meters how many liters? Answer: 300,000 liters.
• 5 cubic meters is how many liters? Answer: 5,000 liters.
• 6 cubes - how many liters? Answer: 6,000 liters.
• How many liters are 4 cubes? The answer is 4,000 liters.

Accordingly, the simplest thing: The answer to the question: “1 cubic m how many liters?” - 1000 liters.

How many liters are in a cubic meter?

Now we will give answers to questions regarding the conversion of liters to cubic meters.

• How many cubes are 100 liters? Solution: 100*0.001=0.1 cubic meters. meters. Answer: 0.1 cubic meters.
• How many cubes are 200 liters? Solution: 200*0.001=0.2 cubic meters. meters. Answer: 0.2 cubic meters.
• 3000 liters how many cubes? The answer is 3 cubic meters. meters.
• 500 liters how many cubes? Answer: 0.5 cubic meters.
• 5000 liters how many cubes? Answer: 5 cubes.
• How many cubes are 1000 liters? Answer: 1 cubic meter.
• How many cubes are 10,000 liters? Answer: 10 cu. m.
• How many cubes is 140 liters? Answer: 0.14 cubic meters.
• 1500 liters how many cubes? Answer: 1.5 cubic meters.

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1 liter [l] = 1000 cc [cm³]

Initial value

Converted value

cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exaliliter petaliter teraliliter gigaliliter megaliter kiloliter hectoliter deciliter deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel American barrel British American gallon British quart USA quart British pint USA 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

Wavelength and frequency

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.

The calculator converts volume units. The most commonly used metric units are the liter and the cubic meter. A liter is equal to 1 cubic decimeter, a cubic meter is equal to 1,000 liters. A hectoliter is equal to 100 liters.

The Anglo-American system uses historical units, which in the United States and Great Britain, despite the same name, represent different volumes. In America, moreover, a different system of volume units is still used for liquids and solids (for example, grain). For example, one pint can represent three different volume values. In the translation table, the individual systems are clearly separated.

Converter

Enter volume and select units of measurement

millimeter (mm) cubic centimeter (cm) cubic decimeter (dm) cubic meter (m) cubic milliliter (ml) centiliter (cl) deciliter (dl) liter (l) hectoliter (hl) jill (gi) pint (pt) quart ( qt) gallon (gal) barrel (bl) jill (gi) pint (pt) quart (qt) gallon (gal) barrel (bl) pint (pt) quart (qt) gallon (gal) peck (pk) bushel (bsh) quarter (qr)

Round up decimal places

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 liter [l] = 1000 cc [cm³]

Initial value

Converted value

cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exaliliter petaliter teraliliter gigaliliter megaliter kiloliter hectoliter deciliter deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel American barrel British American gallon British quart USA quart British pint USA 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.