From cm cubic meters are cubic. How many liters in a cube

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1 cubic meter [m³] = 1000000 cc [cm³]

Initial value

Converted value

cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exalitre petaliter teraliter gigaliter megaliter kiloliter hectoliter decalitre deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US gallon British quart US quart British pint US pint British 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) gin (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

Kinematic viscosity

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 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 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 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 of Nations 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

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

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: "1 cubic meter how many liters?" - 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.

So in 1 cubic meter - 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 \u003d 0.001 or 1 * 10 to minus 3 degrees (if it is more convenient for solving the problem)

We know that there are 10 cm in 1 dm

Then in 1 cubic dm - 10 cubic cm in a cube (i.e. 10 * 10 * 10 \u003d 1000)

If we are talking about the value - cubic cm or meters, then we simply raise it to the appropriate power, in this case — 3.

Thus, we get the following: in 1 cu. m will be 1,000,000 cubic meters. cm. We have cubed the number of centimeters in one meter. The same can be done 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. \u003d 100 cm. Hence 1 cm. \u003d 0.01 m.

1 dm. \u003d 10 cm. Hence 1 cm. \u003d 0.1 dm.

1 m = 10 dm. Hence 1 dm. = 0.1 m.

Square means squaring, cubic means cued. The result is the following:

In 1 cu. m. \u003d 1,000,000 cubic meters. cm. That is, the number of centimeters in one meter was raised to a cube. The same goes for all other quantities. In 1 cu. m. \u003d 1,000 cubic meters. dm. In 1 cu. dm. = 1,000 cu. see It's all mathematics.

And vice versa, in 1 cu. cm = 0.000001 cu. m.

In order to use ready-made answers without calculations or to check yourself, you can use a special translator, for example here

1. Convert cubic centimeters to cubic meters or cm3 to m3

100cm, so 1cm=1/100m=0.01m

Now, to make it clearer, let's write it down 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 amount 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=10cmx10cmx10cm= 1000 cm3, that is, to translate Multiply the number of decimeters by 1000.

okay you! What, you didn't go to school?

We know that there are 100 centimeters in one meter. when we are dealing with volume, then our values ​​grow in three directions - along the length, width and height.

Square meters to cubic meters conversion calculator

therefore, in order to convert cubic centimeters to cubic meters, it is necessary to divide the value not by 100, but by a million, i.e. multiply by 10 to the power of -6.

respectively, 1 cubic meter. equals one million cubic cm.

and 1000 cubic meters. equals 1 billion cc.

with decimeters in the same way: because there are 10 centimeters in 1 decimeter, then 1 cubic dm. equals 1000 cc.

To convert cubic centimeters to cubic meters Divide centimeters 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 elementary school mathematics * - *, oh this is a great time when we were small and we were only taught to count and translate from meters to centimeters and so on. 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 volume units - the ratio between cubic decimeter and cubic centimeter:

1 cu. dm = 1000 cu.

Unit converter

– solving problems using the studied volume units:

1 cc, cu. dm;

Formation of UUD:Cognitive UUD: the use of tables, comparison and comparison of units of measurement of volume in the conditions of performing tasks. Regulatory: the ability to determine the objectives of the lesson, analyze the results achieved Communicative: the ability to express one's opinion and argue one's point of view, manage the partner's actions Personal: focus on introspection and self-control of the result, on the analysis of the compliance of the results with the requirements of a specific task, on the understanding of the proposals and assessments of teachers, comrades

Propaedeutics: measurement of volumes of geometric shapes.

Repetition: column addition and subtraction algorithm.

Methods and techniques for organizing student activities: conversation, organization independent work students on textbook assignments. Educational and methodological support: U-1, T-1.

Introductory part of the lesson

Students voice the topic of the lesson, look through p. 94 of the textbook and suggest that in the lesson we will learn that 1 cube. dm = = 1000 cu. see, we will learn to express the volume in cubic centimeters, given in cubic decimeters and cubic centimeters, to perform a multiple comparison 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 1 cc)

- How 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? (In 1 sq. dm - 100 sq. cm)

We supplement the entry on the board: 1 dm \u003d 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 cu dm - 1000 cc)

We draw the attention of the students to the blue plate and propose to prove the validity of the equality: 1 cubic dm - 1000 cubic meters. cm

We call to the board a student who performs the appropriate transformation: 1 cube. dm = 1 dm ∙ 1 dm ∙ 1 dm = 10 cm ∙ 10 cm ∙ 10 cm =

1000 cu. 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 the box, the length of which is 3 dm, and the width is 2 dm? (3 cubic ∙ 2 rows \u003d 6 cubic meters) We find out that the height of the box is 1 dm, which means that the box will have

1 layer with 6 cubes, therefore, the box CAPACITY 6 cubes We conclude that the CAPACITY of the box is 6 cubic decimeters, since the volume of one cube with a side of 1 dm is equal to 1 cu. dm.

Task No. 319 (U - 1, p. 94)

Expected answer: the segment must be increased by 10 times, since 1 cm ∙ 10 \u003d 10 cm \u003d 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 sq. dm 100 times.

We invite students to independently answer the third requirement of the assignment: how many times 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 cu. 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 cu. cm + 500 cc cm = 1500 cu. see The rest of the tasks, students perform on their own, then compare the results.

Task No. 321 (U - 1, p. 94)

Students read and complete the assignment on their own. We give time for execution, we check by projecting samples of the solution onto the board: 326532 cubic meters. dm + 867543 cu. dm = 1194075 cubic dm 326532

+ 867543

1785634 cu. 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 cu. dm 500 cu. 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 offer to make a brief note:

1 cu. dm 500 cu. cm = 1500 cu. cm.

We organize verification by reading the detailed solutions along the chain.

1 cu. dm 10 cu. cm = 1000 cu. cm + 10 cu. cm = 1010 cc

cube dm 5 cu. cm = 5000 cu. see + 5 cu. cm = 5005 cc

10 cu. dm 10 cu. cm = 10000 cu. cm + 10 cc = 10010 cc cm

Task No. 323 (U - 1, p. 95)

We give time to fill in the table, check it orally by reading the answers along the chain or projecting the answers on the board:

We ask how many cups of water you need to take in order to get 1 cubic meter. dm water?

Expected answer: 4 cups, since 1 cu. dm = 1000 cu. cm.

Task No. 324 * (U - 1, p. 95)

The students read the problem, voice it in their own words, and make suggestions about how to calculate the size of the new aquarium. Expected answer: this aquarium is half filled with water. In order for a new aquarium to be completely filled with this amount of water, a smaller aquarium is needed. It can be an aquarium, the height of which is 2 times less than this aquarium. Write a summary on the board. problem solution and answer:

Length - 6 dm

Width - 5 dm

Height - 4 dm

4 dm: 2 \u003d 2 dm - the height of the new aquarium

Answer: the dimensions of the new aquarium: length - 6 dm, width - 5 dm, height - 2 dm.

We ask, is it possible to solve differently? (yes, you can reduce the length of the aquarium by 2 times)

We write down on the board another solution and the answer to the problem: 6 dm: 2 \u003d 3 dm Answer: the dimensions of the new aquarium: length - 3 dm, width - 5 dm, height - 4 dm.

We ask, how else can we solve this problem? (can be reduced to

2 times the width of the aquarium)

We invite students to write down the solution and the answer of the problem on their own (pause)

We check by calling one of the students to the board: 5 dm: 2 \u003d 50 cm: 2 \u003d 25 cm Answer: the 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.

Write on the board:

1 aquarium: 6 dm ∙ 5 dm ∙ 2 dm = 60 cu. dm

2 aquarium: 3 dm ∙ 5 dm ∙ 4 dm = 60 cu. dm

3 aquarium: 6 dm ∙ 25cm ∙ 4 dm = 60 cm ∙ 25 cm ∙ 40 cm = 60,000 cu. 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 on their own. We ask, what transformations can be done 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 cu. cm + 5 cu. cm = 10005 cu. cm

Students perform the following transformations on their own:

10 cu. dm 50 cu. cm = 10000 cu. cm + 50 cu. cm = 10050 cu. cm

10 cu. dm 555 cu. cm = 10000 cu. cm + 555 cc cm = 10555 cu. cm

We write down on the board and simultaneously in notebooks all volumes, but already in the same units of measurement: 10,500 cubic meters. cm 10005 cu. cm 10550 cu. cm

10050 cu. cm 15000 cc cm 10555 cc cm

We arrange the volumes expressed in the same units in ascending order with 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. cm 10 cu. dm 5 cu. cm

10050 cu. cm 10 cu. dm 50 cu. cm 10500 cc cm 10500 cc cm 10550 cc cm 10 cu. dm 50 cu. cm

10555 cu. cm 10 cu. dm 555 cu. cm 15000 cc cm 15000 cc cm

Task No. 326 (U - 1, p. 95)

We find out that in order 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 cu. dm = 10000 cu. cm

Homework: No. 135 - 136 (T - 1, p. 73)

Convert cubic centimeters to cubic meters

Cube translation table

Substantial part construction works requires measurement in units of volume. This is, first of all, concreting and brickwork, excavation. Often, the amount of materials brought in is measured in cubic units, and the volume of garbage removed can also be measured in them. And in the design, and in construction, and in the process of laboratory research, a real conversion table of volume units will come in handy.

The following units are presented in the table: cubic meter, cubic decimeter, cubic centimeter, cubic millimeter, hecto-liter, decalitre, liter, deciliter, centiliter, milliliter and microliter.

Some of these units are rare in practice, but the table would not be complete without them.

For each unit of volume, a separate conversion table has been compiled into other units through coefficients.

Example: It is required to express the value of 0.6 m3 in other units.

Consider lookup table 1 square meter and alternately multiply our value by the conversion coefficients.

    As a result of calculations, we determine that 0.6 m2 is:
  • 600 cubic decimeters;
  • 600000 or 6×105 cubic centimeters;
  • 6×108 cubic millimeters;
  • 6 hectoliters;
  • 60 decalitres;
  • 600 liters;
  • 6000 deciliters;
  • 60000 centiliters;
  • 600,000 milliliters;
  • 6x108 microliters.

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

  • How many liters in a cube?
  • 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 to a cube or dm cube to liters?
  • A cube of concrete, gasoline, diesel fuel, diesel fuel- How many liters is that?

Next, you can select a group of more specific questions, for example, how many liters are there in a cube of water in a bath or how many cubes are in a barrel of 200 liters, in a bucket of 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, mat. part, so that at any time you can easily convert cubes to liters, and of course back.

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. 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

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

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

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

For quick calculations, we suggest using our online calculators:

If you have any questions about this topic, leave them here below in the comments.

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?
Solution: 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?
Solution: 300 * 1000 = 300,000 liters
Answer: 300 thousand liters in 300 cubic meters.
Task #2: How many liters in 1 cubic meter? (the easiest)
Solution: 1 * 1,000 = 1,000 liters.
Answer: in 1 cube 1000 liters.
Task #7: 5 cubes - how many liters?
Solution: 5 * 1000 = 5000 liters
Answer: 5 cubes is 5 thousand liters.
Task #3: 2 cubes is how many liters?
Solution: 2 * 1,000 = 2,000 liters.
Answer: in 2 cubes 2,000 liters.
Task #8: 6 cubes is how many liters?
Solution: 6 * 1000 = 6000 liters.
Answer: in 6 cubes 6 thousand liters.
Task #4: How many liters are in 10 cubic meters?
Solution: 10 * 1000 = 10,000 liters
Answer: in 10 cubic meters 10 thousand liters.
Task #9: 4 cubes how many liters?
Solution: 4 * 1000 = 4000 liters
Answer: in 4 cubes 4 thousand liters.
Task #5: 20 cubic meters is how many liters?
Solution: 20 * 1000 = 20,000 liters
Answer: in 20 cubic meters 20 thousand liters.
Task #10: 500 cubic meters how many liters?
Solution: 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?
Solution: 100 * 0.001 = 0.1 cu. meter.
Answer: 100 liters is 0.1 cubic meters.
Task #6: How many cubes are in 1500 liters?
Solution: 1500 * 0.001 = 1.5 cubic meters.
Answer: in 1500 liters 1.5 cubic meters.
Task #2: How many cubes are in 200 liters?
Solution: 200 * 0.001 = 0.2 cu. meters.
Answer: in 200 liters 0.2 meters.
Task #7: How many cubes are in 3000 liters?
Solution: 3000 * 0.001 = 3 cubic meters.
Answer: in 3000 liters - 3 cubic meters.
Task #3: How many cubes are in 140 liters?
Solution: 140 * 0.001 = 0.14 cubic meters.
Answer: in 140 liters 0.14 cubic meters.
Task #8: How many cubes are in 5000 liters?
Solution: 5000 * 0.001 = 5 cubic meters.
Answer: in 5,000 liters - 5 cubic meters.
Task #4: How many cubes are in 500 liters?
Solution: 500 * 0.001 = 0.5 cu.
Answer: in 500 liters 0.5 cubic meters.
Task #9: How many cubes are in 10,000 liters?
Solution: 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?
Solution: 1000 * 0.001 = 1 cubic meter.
Answer: 1 cubic meter in 1000 liters.
Task #10: How many cubes are in 30,000 liters?
Solution: 30,000 * 0.001 = 30 cu. m.
Answer: in 30,000 liters 30 cu. m.

For quick calculations, we suggest you use our online calculators.

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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 exalitre petaliter teraliter gigaliter megaliter kiloliter hectoliter decalitre deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US gallon British quart US quart British pint US pint British 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) gin (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 of Nations 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. Post a question to TCTerms and within a few minutes you will receive an answer.

 
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