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

Often students have difficulty converting one unit of measure to another. Hence a lot of questions like:

• 1 cube - how many liters is it?
• How many liters 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 are there in a cubic meter?
• How to convert cm in a cube (cm 3) or dm cube (cm 3) to liters?
• A cube of concrete, gasoline, diesel fuel, diesel fuel - how many liters?

Next, you can select a group of more specific questions, for example, how many liters are there 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, but in 10 liters? And 40 liters of dry hydrogen is how many cubic meters? These questions are relevant both for students in solving various problems, and for practical purposes, for example, when buying a container for water. Let us examine this issue thoroughly, remember, so to speak, the materiel, so that at any time you can easily convert cubes into liters, and of course back.

How many liters 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, whether it be water, gas, sand or gasoline.

How many liters in 1 cubic meter?

Let's start with a lyrical digression, namely from the course of school physics. It is known that the generally accepted unit of volume 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 often used - liters - they are also cubic decimeters and cubic centimeters.

As practice has shown, the most convenient unit 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. 1 dm. cube = 1 liter.

The formula for converting the volume of a cube to liters

1 cu. m \u003d 1000 l (formula for the volume of a cube in liters)

Formula for converting liters to cubic meters

1 l \u003d 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 cubic meters? Decision: Using the above formula we get: 0.5 * 1000 = 500 liters. Answer: in 0.5 cubes 500 liters.	Task #6: How many liters are in 300 cubic meters? Decision: 300 * 1000 = 300,000 liters Answer: 300 thousand liters in 300 cubic meters.
Task #2: How many liters in 1 cubic meter? (the easiest) Decision: 1 * 1,000 = 1,000 liters. Answer: in 1 cube 1000 liters.	Task #7: 5 cubes - how many liters? Decision: 5 * 1000 = 5000 liters Answer: 5 cubes is 5 thousand liters.
Task #3: 2 cubes is how many liters? Decision: 2 * 1,000 = 2,000 liters. Answer: in 2 cubes 2,000 liters.	Task #8: 6 cubes is how many liters? Decision: 6 * 1000 = 6000 liters. Answer: in 6 cubes 6 thousand liters.
Task #4: How many liters are in 10 cubic meters? Decision: 10 * 1000 = 10,000 liters Answer: in 10 cubic meters 10 thousand liters.	Task #9: 4 cubes how many liters? Decision: 4 * 1000 = 4000 liters Answer: in 4 cubes 4 thousand liters.
Task #5: 20 cubic meters is how many liters? Decision: 20 * 1000 = 20,000 liters Answer: in 20 cubic meters 20 thousand liters.	Task #10: 500 cubic meters how many liters? Decision: 500 * 1000 = 500,000 liters Answer: in 500 cubic meters 500 thousand liters.

Examples: how to convert cubes to liters?

Consider now the inverse problem of finding the number of cubes in the specified number of liters.

Task #1: How many cubes are in 100 liters? Decision: 100 * 0.001 = 0.1 cu. meter. Answer: 100 liters is 0.1 cubic meters.	Task #6: How many cubes are in 1500 liters? Decision: 1500 * 0.001 = 1.5 cubic meters. Answer: in 1500 liters 1.5 cubic meters.
Task #2: How many cubes are in 200 liters? Decision: 200 * 0.001 = 0.2 cu. meters. Answer: in 200 liters 0.2 meters.	Task #7: How many cubes are in 3000 liters? Decision: 3000 * 0.001 = 3 cubic meters. Answer: in 3000 liters - 3 cubic meters.
Task #3: How many cubes are in 140 liters? Decision: 140 * 0.001 = 0.14 cubic meters. Answer: in 140 liters 0.14 cubic meters.	Task #8: How many cubes are in 5000 liters? Decision: 5000 * 0.001 = 5 cubic meters. Answer: in 5,000 liters - 5 cubic meters.
Task #4: How many cubes are in 500 liters? Decision: 500 * 0.001 = 0.5 cu. Answer: in 500 liters 0.5 cubic meters.	Task #9: How many cubes are in 10,000 liters? Decision: 10,000 * 0.001 = 10 cu. m. Answer: in 10,000 liters - 10 cubic meters. m.
Task #5: How many cubes are in 1000 liters? Decision: 1000 * 0.001 = 1 cubic meter. Answer: 1 cubic meter in 1000 liters.	Task #10: How many cubes are in 30,000 liters? Decision: 30,000 * 0.001 = 30 cu. m. Answer: in 30,000 liters 30 cu. m.

For quick calculations, we suggest using our online calculators:

• cube to liter 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.

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 a different volume. In America, moreover, a different system of volume units 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

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 to decimal places

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 in a liter?
• How many liters of gas, propane, earth, solution are in a cube?
• How many liters 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?

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

Convert cubes to liters

First, a small digression to the school physics course. The generally accepted unit for measuring volume is the cubic meter. Represents 1 cube. 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 a liter - the volume of a cube, the side of which is 10 cm or 1 dm. Thus, we obtain the following ratio: 1 liter = 1 dm3.

From here we get the following forms:

1 cu. m \u003d 1000 l (formula for the volume of a cube in liters)

• 0.5 cubic meters how many liters? Solution: 0.5*1000=500 liters. Answer: 500 liters.
• 10 cubic meters how many liters? Solution: 10*1000=10,000 liters. Answer: 10,000 liters.
• How many liters is 2 cubes? Solution: 2*1000=2000 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.
• How many liters is 30 cubic meters? Answer: 30,000 liters.
• 300 cubic meters how many liters? Answer: 300,000 liters.
• How many liters is 5 cubes? Answer: 5000 liters.
• 6 cubes - how many liters? Answer: 6000 liters.
• 4 cubes how many liters? The answer is 4,000 liters.

Accordingly, the simplest: The answer to the question: "How many liters is 1 cubic meter?" - 1000 liters.

How many liters in a cubic meter?

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

• 100 liters how many cubes? Solution: 100 * 0.001 \u003d 0.1 cu. meters. Answer: 0.1 cubic meters.
• 200 liters how many cubes? Solution: 200*0.001=0.2 cu. meters. Answer: 0.2 cubic meters
• 3000 liters how many cubes? The answer is 3 cu. meters.
• 500 liters how many cubes? Answer: 0.5 cubic meters.
• 5000 liters how many cubes? Answer: 5 cubes.
• 1000 liters how many cubes? Answer: 1 cubic meter.
• 10000 liters how many cubes? Answer: 10 cu. m.
• How many cubic meters is 140 liters? Answer: 0.14 cubic meters.
• 1500 liters how many cubes? Answer: 1.5 cubic meters.

Today you have to find out (or maybe not find out, but only remember), how to convert liters to cubic centimeters and vice versa. Such recalculations in laboratory practice have to be performed almost daily, and in ordinary life the knowledge gained will be useful to you more than once. If you do not want to understand the details, but only need an answer, we recommend using the Google service specially designed for this purpose. For those who want to learn how to perform all the necessary calculations on their own, detailed instructions are given later in the article.

It should be noted that in the international SI system of measures, a cubic meter (m 3) is adopted as a unit of volume. But when working in chemical, physical or biological laboratories, as a rule, one has to deal not with cubic meters, but with liters, which are not actually SI units. This is understandable, since there are 1000 liters in a cubic meter. Agree, not the most convenient unit for measuring volume in laboratory work. In practice, these values ​​are almost never used.

So, one liter is 1/1000 of a cubic meter. This is the volume of a cube with sides of 10 cm. It is easy to calculate how many cubic centimeters are in one liter:

1 liter \u003d (1 dm) 3 \u003d (10 cm) 3 \u003d 1000 cm 3.

In other words, a liter is a unit of measurement for the volume of the “decimeter range”. A decimeter is 10 centimeters, which means that 1 liter is equal to 1 cubic decimeter.

Now let's deal with a smaller unit of measure - a milliliter. A milliliter is equal to a cubic centimeter, i.e. milliliter (ml) and cubic centimeter (cm 3) have the same volume: 1 ml \u003d 1 cm 3. In English literature, the abbreviation cc is widely used - cubic centimeter: 1 cc \u003d 1 cm 3 \u003d 1 ml.

Tasks for converting liters to cubic centimeters

We will consolidate the knowledge gained in practice by examining a couple of specific examples.

Example 1. What is the volume in liters of a cube with a side of 25 centimeters?

To solve this problem, we first calculate the volume of the cube in cm 3:

• The volume of a cube is equal to the length of its side raised to the third power.
• The volume of our cube in cm 3 \u003d (25 cm) 3 \u003d 15625 cm 3.

Now let's convert cubic centimeters (cm 3) to milliliters (ml):

• 1 cm 3 \u003d 1 ml, i.e. the volume in ml is equal to the volume in cm3.
• The volume of our cube in ml = 15625 ml.

And finally, convert milliliters to liters:

• 1 l = 1000 ml.
• Volume in l = (volume in ml) x (1 l / 1000 ml) = (volume in ml) / 1000 (This is easy to understand, because a milliliter is a thousand times smaller than a liter).
• The volume of our cube in l = (15625/1000) = 15.625 l.

Answer: The volume of a cube with sides of 25 cm is 15.625 liters.

If you are lucky, and the initial value is already set in cubic centimeters, it will not be difficult to convert to liters.

Example 2. Convert 442.5 cm 3 to liters.

From the previous example, you already know that a cubic centimeter is equal to a milliliter, i.e.:

• 442.5 cm 3 \u003d 442.5 ml.

Now you just need to convert milliliters to liters:

• 1000 ml = 1 l.
• So, in our case, the volume in l = 442.5 ml / 1000 = 0.4425 l.

Answer: the volume in liters is 0.4425 liters.

Please note that whenever the volume (however, like any other value) is less than one, you must add a zero before the decimal point to make it easier to read the number.

Homework

To make sure you have a good understanding of how to convert liters to cubic centimeters, try answering the following questions:

1. How many milliliters are in 4.3 liters?
2. Convert 823 ml to liters.
3. How many times the volume of a 2 ml syringe is less than the volume of a 1 liter bottle.

Submit your answers in the comments and we'll discuss them together.

Prepared by Sergey Valerievich

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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 exalitre petalitr teraliter gigaliter megaliter kiloliter hectoliter decalitre deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US pint US British quart US quart English glass American glass (metric) glass British ounce fluid US ounce fluid British tablespoon Amer. tablespoon (meter) tablespoon UK dessert spoon amer. dessert spoon Brit. teaspoon amer. metric teaspoon teaspoon Brit. gill, gill american gill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch reg ton 100 cubic feet 100 cu. foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gyn (biblical unit) cab (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 shtof quarter wine bottle vodka bottle glass cup shkalik

Learn more about volume and units of measurement in recipes

General information

Volume is the space occupied by a substance or object. Also, the volume can denote the free space inside the 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 for 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

It's like 0.001 cubic meters. The mass of one liter of water at 4°C is approximately equal to one kilogram. Often milliliters are also used, equal to one cubic centimeter or 1/1000 of a liter. A milliliter is usually referred to as ml.

jill

Gills are units of volume used in the United States to measure alcoholic beverages. One gill is five fluid ounces in the British imperial system, or four in the US. One American jill is equal to a quarter pint or half a cup. In Irish pubs, strong drinks are served in portions of a quarter of a jill, or 35.5 milliliters. The Scottish portions are smaller - one-fifth of a jill, or 28.4 milliliters. In England, until recently, servings were even smaller, only one-sixth of a jill or 23.7 milliliters. Now, it's 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two servings to serve.

AMD

Dram, or drachma - a measure of volume, mass, as well as a coin. In the past, this measure was used in the pharmacy business and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachmas.

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 weight.

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 system of measurement. 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 some dietary guides and cookbooks use 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for eating.

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, about 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, a cup is not as strictly defined as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, while an American cup is slightly smaller, about 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, respectively, 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 pints are not used to measure other liquids. In the UK, pints are used to measure milk and cider. A pint is equal to one eighth of a gallon. Some other countries in the Commonwealth and Europe also use pints, but since they depend on the definition of the gallon, and the gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, while an American pint is 473.2 milliliters.

Fluid ounce

An imperial ounce is approximately equal to 0.96 US ounce. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 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 liquid 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 values ​​is the volume of the measured object. For example, if, when an object is lowered into a cup with one liter of water, the volume of liquid increases to two liters, then the volume of the object is one liter. In this way, only the volume of objects that do not absorb liquid can be calculated.

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: edge length to the third power.

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.

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 an edge a, injection BUT, length - l, and the width - w, then the volume of the parallelepiped V equals:

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: the product of the area of ​​the base of the cylinder, the 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.

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