One has to deal with volume measurement all the time: filling the car's tank with fuel, taking a potion, paying for water consumption, etc. How is the volume measured?

When measuring volume, proceed in the same way as when measuring an area. As a unit of measurement, a cube with an edge equal to some unit of length is chosen, for example, 1 cm. Then the unit of measurement of volume will be the volume of such a cube.

Rice. 65

For example, the volume of a rectangular parallelepiped (Fig. 65) is 24 cm 3. This means that its volume contains 24 cubes with a volume of 1 cm 3. The same result can be obtained if you measure the length a, width b and height c of the body, and then multiply their values. The volume is indicated by the Latin letter V:

V = abc;

V = 3 cm. 2 cm. 4 cm = 24 cm 3.

Using this formula, you can find the volumes of bodies that have the shape of a rectangular parallelepiped, a cube.

The SI unit of volume is 1 m 3... Other units: dm 3, cm 3, mm 3 - fractional units of m 3.

1 m 3 = 1000 dm 3 = 1. 103 dm 3;
1 dm 3 = 1000 cm 3 = 1. 10 3 cm 3;
1 cm 3 = 1000 mm 3 = 1. 10 3 mm 3;
1 dm 3 = 0.001 m 3 = 1. 10 -3 m 3;
1 cm 3 = 0.001 dm 3 = 0.000 001 m 3 = 1. 10 -6 m 3;
1 mm 3 = 0.001 cm 3 = 1. 10 -3 cm 3;
1 mm 3 = 0.000 001 dm 3 = 1. 10 -6 dm 3;
1 mm 3 = 0.000 000 001 m 3 = 1. 10 -9 m 3.

How to measure the volume of an irregularly shaped body, such as a kettlebell? Here, the most convenient way is to lower the body (weight) into a beaker of water and determine the volume of water displaced by it. It will be equal to the volume of the body. In Figure 66, the volume of the weight is:

V = 49 ml - 21 ml = 28 ml = 28 cm 3.

Rice. 66

In everyday life, the unit of volume is 1 liter (l). One liter is nothing more than one cubic decimeter (Fig. 67):

1 l = 1 dm 3;

1 milliliter (ml) = 0.001 L = 1 cm 3.

Rice. 67

The volume measurement accuracy depends on the scale division of the measuring device. The smaller it is, the greater the measurement accuracy.

Interesting to know!

In the English system of measures, the unit of area is 1 acre:

1 acre = 4046.86 m 3;

unit of volume - 1 barrel:

1 barrel = 163.65 dm 3 = 0.16 m 3.

In the United States, a dry barrel is distinguished:

1 dry barrel = 115.628 dm 3

and an oil barrel:

1 oil barrel = 158.988 dm 3 = 0.159 m 3.

Now it will be clear to you what volume of oil we are talking about when the price for 1 barrel of oil is being discussed.

Think and answer

DIY at home

Using the beaker you made, measure the volume of the potato tuber. Determine the accuracy of your measurements.

Think and answer

1. How to determine the volume of the body of the correct shape? Wrong shape?
2. In what units in SI is volume measured?
3. What is the relationship between the volumes: V 1 = 1 dm 3 and V 2 = 1 l; V 3 = 1 cm 3 and V 4 = 1 ml?
4. Which of the beakers will allow you to determine the volume of a piece of plasticine most accurately (Fig. 68)?

Exercises

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

Often, students have difficulty translating one unit of measurement into another. Hence, many questions like:

• 1 cubic meter - how many liters is it?
• How many liters are there in a cube of water?
• How many liters in a cube of gas, propane, gasoline, sand, earth, expanded clay?
• How many liters of methane, liquefied gas per cubic meter?
• How to convert cm cubed (cm 3) or dm cube (cm 3) to liters?
• How many liters is a cube of concrete, gasoline, diesel fuel, diesel fuel?

Further, we can single out 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 in solving various problems and for practical purposes, for example, when buying some kind of water tank. Let's understand this issue thoroughly, remember, so to speak, the materiel, so that at any time you can easily convert cubes to liters, and of course back.

How many liters are in 1 cubic meter?

Let us first of all 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 meter?

Let's start with a lyrical digression, namely, with a course in school physics. It is known that the generally accepted unit of measure for volume is the cubic meter. 1 cubic meter is the volume of a cube, the side of which is exactly one meter.

This unit is not always convenient and it is for this reason that others are very often used - liters - they are also cubic decimeters and cubic centimeters.

As practice has shown, the most convenient unit of measurement of volume turned out to be a liter, which is the volume of a cube, the length of which is 1 dm or 10 cm.Thus, we find that all questions how to convert a dm cube to cubes are equivalent to the question: how to convert liters to cubes, because 1 dm. cube = 1 liter.

The formula for converting the volume of a cube to liters

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

The formula for converting liters to cubic meters

1 l = 0.001 cubic meters m

Examples of converting liters to cubes

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

Challenge # 1: How many liters are in 0.5 cubes? Solution: Using the above formula we get: 0.5 * 1000 = 500 liters. Answer: in 0.5 cubic meters of 500 liters.	Challenge # 6: How many liters are in 300 cubic meters? Solution: 300 * 1000 = 300,000 liters Answer: 300 thousand liters in 300 cubic meters.
Problem # 2: How many liters are in 1 cubic meter? (the easiest) Solution: 1 * 1,000 = 1,000 liters. Answer: 1 cube 1,000 liters.	Challenge # 7: 5 cubes - how many liters? Solution: 5 * 1000 = 5000 liters Answer: 5 cubic meters is 5 thousand liters.
Problem # 3: How many liters is 2 cubes? Solution: 2 * 1,000 = 2,000 liters. Answer: in 2 cubes 2,000 liters.	Challenge # 8: How many liters is 6 cubes? Solution: 6 * 1000 = 6,000 liters. Answer: in 6 cubes 6 thousand liters.
Challenge # 4: How many liters are in 10 cubes? Solution: 10 * 1000 = 10,000 liters Answer: in 10 cubes 10 thousand liters.	Challenge # 9: How many liters are 4 cubes? Solution: 4 * 1000 = 4000 liters Answer: in 4 cubes 4 thousand liters.
Problem # 5: How many liters is 20 cubes? Solution: 20 * 1000 = 20,000 liters Answer: in 20 cubes 20 thousand liters.	Challenge # 10: How many liters of 500 cubic meters? Solution: 500 * 1000 = 500,000 liters Answer: in 500 cubic meters of 500 thousand liters.

Examples: how to convert cubes to liters?

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

Challenge # 1: How many cubes are in 100 liters? Solution: 100 * 0.001 = 0.1 cubic meters. meter. Answer: 100 liters is 0.1 cubic meters.	Challenge # 6: How many cubes are in 1500 liters? Solution: 1500 * 0.001 = 1.5 cubic meters. Answer: 1500 liters 1.5 cubic meters.
Problem # 2: How many cubes are there in 200 liters? Solution: 200 * 0.001 = 0.2 cubic meters. meters. Answer: in 200 liters 0.2 m.	Challenge # 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 0.14 cubic meters.	Challenge # 8: How many cubes are in 5000 liters? Solution: 5000 * 0.001 = 5 cubic meters. Answer: 5,000 liters - 5 cubic meters.
Challenge # 4: How many cubes are there in 500 liters? Solution: 500 * 0.001 = 0.5 cubes. Answer: in 500 liters 0.5 cubic meters.	Challenge # 9: How many cubes are there in 10,000 liters? Solution: 10,000 * 0.001 = 10 cubic meters. m. Answer: 10,000 liters - 10 cu. m.
Problem # 5: How many cubes are there in 1000 liters? Solution: 1000 * 0.001 = 1 cubic meter. Answer: in 1000 liters 1 cubic meter.	Challenge # 10: How many cubes are there in 30,000 liters? Solution: 30,000 * 0.001 = 30 cubic meters. m. Answer: in 30,000 liters 30 cubic meters. m.

For quick calculations, we suggest using our online calculators.

Before we figure out how to convert cubic meters to liters, let's figure out what these units are. In the International System of Measurement (SI), the basic unit of measurement for volume is the cubic meter. By definition, it is the volume that is enclosed in a cube with a side equal to one meter. However, it is not always convenient to use cubic meters for measuring small volumes, therefore, other generally accepted units of measurement of volume are cubic centimeter and liter.

In everyday life, the measurement of volumes in liters is most often used. By definition, a liter is the volume of a cube with a side of 10 cm. That is, one liter is equal to one cubic decimeter.

For reference: before 1964, the definition of a liter was different, therefore, in some sources, the ratio of 1 liter = 1.000028 dm 3 is indicated. The volume of one kilogram of water at normal atmospheric pressure and at 3.98 ° C was taken as a liter.

Derivation of the ratio

To obtain a formula for converting volume units from cubic meters to liters, we express the volume of one cubic meter in cubic decimeters.

1 m = 10 dm, which means 1 m 3 = (10 dm) 3 = 1000 dm 3.

From the last ratio, we see that a cubic meter contains a thousand cubic decimeters, and therefore a thousand liters.

1 m 3 = 1000 l

It follows from this ratio that to convert units of measurement from cubic meters to liters, you need to multiply the volume in cubic meters by a thousand and get the volume in liters.

Task: The volume of the water canister is 0.02 m 3. How many liters of water does it hold?

Solution: 0.02 m 3 = 1000 x 0.02 = 20 l

You often hear the question - How to convert meters to liters? From the point of view of physics, the question is completely incorrect, since meters are units of length, and liters are units of volume and it is impossible to translate one into another.

Reverse translation

Often there are situations when a reverse conversion is necessary - into cubic meters from liters. To do this, divide the existing volume in liters by one thousand and get the value in cubic meters.

1 l = 0.001 m 3

Task: Convert the volume of 25,000 liters into SI units.

Solution: 25,000 l = 0.001 x 25,000 = 25 m 3

Areas of use

Liter is a unit of measurement most often used to measure volumes of liquids and gases from 0.1 to hundreds of liters.

For volumes of thousands of liters, it is preferable to immediately indicate the volume in cubic meters. In addition, cubic meters should be used in any calculations if the rest of the initial data is given in SI.

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1 cubic decimeter [dm³] = 1 liter [l]

Initial value

Converted value

cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exaliter petaliter teraliter gigaliter megalithic liter kiloliter hectoliter decaliter deciliter centiliter milliliter microliter nanoliter nanoliter picoliter femtoliter attoliter cc droplet US barrel British barrel American gallin british glass american glass (metric) glass british ounce fluid USA ounce fluid british tablespoon amer. tablespoon (meter) tablespoon Brit. dessert spoon amer. dessert spoon brit. teaspoon of Amer. teaspoon metric teaspoon brit. jill, gill american jill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch register tonne 100 cubic feet 100 cubic feet acre-feet acre-feet (US, geodetic) acre-inch decaster decister cord tan hogshead board foot drachma kor (biblical unit) homer (biblical unit) baht (biblical unit) gyn (biblical unit) kab (biblical unit) log (biblical unit) glass (spanish) volume of the earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic kiloparsec gigaparsec cask bucket damask quarter wine bottle vodka bottle glass cup scale

Learn more about volume and units in recipes

General information

Volume is the space occupied by a substance or object. Also, the volume can refer to the free space inside the container. Volume is a three-dimensional quantity, as opposed to, 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 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

It's like 0.001 cubic meters. The mass of one liter of water at a temperature of 4 ° C is approximately equal to one kilogram. Milliliters, which are equal to one cubic centimeter or 1/1000 liter, are also often used. A milliliter is usually referred to 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 pint or half a cup. Irish pubs serve hot drinks in quarter-gill portions, or 35.5 milliliters. Scotch servings are smaller - one-fifth of a gill, or 28.4 milliliters. In England, until recently, portions were even smaller, only one-sixth of a gill, or 23.7 milliliters. Now, this is 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two portions to serve them.

Dram

Dram, or drachma, is a measure of volume, mass, and also a coin. In the past, this measure was used in the pharmaceutical industry and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachma.

Volumes in cooking

Liquids in cooking recipes are usually measured by volume. Loose and dry products in the metric system, on the contrary, are measured by weight.

Tea spoon

The volume of a teaspoon is different in different measuring 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 practice to use 5.9 milliliters, but in some dietary manuals and cookbooks it is 5 milliliters. The volume 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 a US cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. British tablespoon - 17.7 milliliters, if a teaspoon - 5.9, and 15 - if a teaspoon - 5 milliliters. Australian tablespoon - ⅔ oz., 4 teaspoons, or 20 milliliters.

Cup

As a measure of volume, cups are not defined as strictly as spoons. The cup volume can vary from 200 to 250 milliliters. The metric cup is 250 milliliters, and the American cup is slightly smaller, about 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, the cups are even smaller - only 200 milliliters.

Quarts and Gallons

Gallons and quarts also vary in size 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 measures it is 3.79 liters. Mostly fuel is 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. In some other countries of the Commonwealth of Nations and Europe, pints are also used, 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 roughly equal to 0.96 US ounces. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One American ounce is also approximately equal to six teaspoons, two tablespoons, and one-eighth of a cup.

Volume calculation

Liquid displacement method

The volume of an object can be calculated using the liquid displacement method. To do this, it is immersed in a liquid of a known volume, a new volume is calculated or measured geometrically, and the difference between these two quantities is the volume of the object being measured. For example, if, when an object is lowered 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.

Volume formulas

The volume of geometric shapes can be calculated using the following formulas:

Prism: product of the area of ​​the base of the prism by the height.

Rectangular parallelepiped: product of length, width and height.

Cube: rib length in the third degree.

Ellipsoid: product of semiaxes and 4 / 3π.

Pyramid: one third of the product of the area of ​​the base of the pyramid and the height. Post a question to TCTerms and you will receive an answer within a few minutes.

The calculator converts volume units. The most commonly used metric units are liter and 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 units of volume for liquids and solids (for example, grain) is still used. For example, one pint can represent three different volumes. In the translation table, the individual systems are clearly separated.

Converter

Enter volume and select units

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