Conversion of volume units. Converting Volume Units Metric and SI

You have to deal with measuring volume all the time: when filling a car tank with fuel, taking a medicine, paying for water consumption, etc. How is volume measured?

When measuring volume, proceed in the same way as when measuring area. As a unit of measurement, choose a cube with an edge equal to some unit of length, for example 1 cm. Then the unit of volume measurement 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. Volume is denoted 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 in the shape of a rectangular parallelepiped or cube.

The SI unit of volume is 1 m3. Other units: dm 3, cm 3, mm 3 - submultiple units 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 weight? The most convenient way here 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, a common 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 accuracy of volume measurement 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 m3;

unit of volume - 1 barrel:

1 barrel = 163.65 dm 3 = 0.16 m 3.

In the USA, a dry barrel is distinguished:

1 dry barrel = 115.628 dm3

and oil barrel:

1 oil barrel = 158.988 dm3 = 0.159 m3.

Now you will understand what volume of oil is being discussed when the price for 1 barrel of oil is discussed.

Think and answer

Do it yourself at home

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

Think and answer

How to determine the volume of a body of the correct shape? Irregular shape?
In what SI units is volume measured?
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?
Which beaker will allow you to determine the volume of a piece of plasticine most accurately (Fig. 68)?

Exercises

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 decimeter [dm³] = 1 liter [l]

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

Metric system and SI

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. Post a question in TCTerms and within a few minutes you will receive an answer.

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 volume is the cubic meter. By definition, it is the volume contained in a cube with a side equal to one meter. However, it is not always convenient to use cubic meters to measure small volumes, which is why other generally accepted units of volume measurement 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, so some sources indicate the ratio 1 l = 1.000028 dm 3. The volume of one kilogram of water at normal atmospheric pressure and at 3.98 o C was taken as a liter.

Derivation of the ratio

To obtain a formula for converting volume units from cubic meters to liters, let's 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

From this ratio it follows 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.

Problem: The volume of a 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

We 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 convert one to the other.

Reverse transfer

There are often situations when a reverse conversion is necessary - into cubic meters from liters. To do this, you need to divide the existing volume value in liters by a thousand and get the value in cubic meters.

1 l = 0.001 m 3

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

Solution: 25,000 l = 0.001 x 25,000 = 25 m3

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 when performing any calculations if the remaining source data is given in SI.

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 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 (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.

It might be useful to read: