How to convert liters to cubic meters and vice versa?

The space in which our entire Universe is placed is three-dimensional. Any body in this space occupies a certain volume. Liquid and solid bodies, unlike gases, have a constant volume under certain external conditions. Volume is most commonly measured in cubic meters for solids and in liters for liquids. Consider the question of how to convert liters to cubic meters and vice versa.

Body volume concept

Before you figure out how to convert liters to cubic meters, consider the very concept of volume. By volume is meant the property inherent in liquid and solid bodies to occupy a certain part of physical space. In the International SI system of units, this value is expressed in cubic meters (m 3 ), but other units are often used.

Cube volume

Below is a list of just a few of them:

  • cubic centimeter (cm 3 );
  • cubic kilometer (km 3 );
  • liter (l);
  • barrel;
  • gallon.

To determine the volume of a body, it is necessary to know three quantities: the length, width and height of this body.

Also, by the volume of a body is understood not only the external dimensions, but also its ability to contain other bodies. For example, volumes of various vessels are determined within the framework of this very last concept. The ability of vessels to contain some volumes of other bodies is used to calculate this physical quantity for liquids, while the volume of solids is calculated taking into account their external dimensions.

Volumes of liquid and solid bodies

Before answering the question of how to convert liters to cubic meters, we describe the difference between liquids and solids, considering them from the point of view of volume as a physical quantity.

How to convert liters to cubic meters

As mentioned above, liquids and solids are similar in that they retain volume under constant conditions, i.e. pressure and temperature. This property of condensed media distinguishes them from gaseous media, which always occupy the volume provided to them. The difference between liquids and solids is that they do not retain their shape, that is, they are able to change it with an infinitely small force that affects liquid bodies.

This difference leads to the fact that one or another mathematical formula can be used to calculate the volume of a solid body. For example, the volume of the cube is a 3 , where a is the side of this cube, the volume of the ball is calculated by the formula 4/3 x pi x r 3 , where r is the radius of the ball. For liquid bodies, such formulas do not exist, because for them the form is not constant. The volumes of liquid bodies are measured using vessels.

How to convert liters to cubic meters?

Finally, we come close to the issue of transferring some quantities to others for volumes of bodies. How to convert liters to cubic meters? Simple enough, for this you need to know that 1 m 3 contains 1000 liters. On the contrary, 1 liter is 0.001 m 3 . So translate the cube. meters in liters can be, if you use a simple proportion: x [l] = A [m 3 ] x 1 [l] / (0.001 [m 3 ]) = 1000 x A [l], where A is the known volume in cubic meters.

Liters and cubic meters

The inverse formula for converting the volume in liters to cubic meters will be: A [m 3 ] = x / 1000 [m 3 ], here x is the known volume in liters.

Let us give an example: we will answer the question of how to convert liters to cubic meters if the volume of a certain body is 324 liters. Using the above formula, we get: A [m 3 ] = x / 1000 [m 3 ] = 324/1000 = 0.324 m 3 .

Source: https://habr.com/ru/post/F21792/


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