# Volume of cube formula explained with examples

Learn and know what is the volume of cube formula in mensuration chapter. Regarding cube this is one of the important formulas we have to learn. To understand what is volume of cube and its formula, first know what is a cube and the meaning of volume. In a cuboid, if all the three dimensions are equal i.e. length, breadth and height are equal then we say the formed shape as a cube. Volume means how much quantity of liquid it can hold. Now we will learn volume of cube formula and the length of a cube formula when volume is given

## What is the volume of a cube meaning?

We know that what is the meaning of volume and also the meaning of a cube. So from these two meanings we can get an idea about what is the meaning of volume of cube. So the volume of a cube meaning is “the capacity of a cube to hold the liquid”.

### How to find the volume formula?

In mensuration, for any 3D figure if you want to find the volume then we should the general formula. Generally, the volume is given as “Area of the base multiplied with height”. If you remember this general formula we can write volume formula for any 3D shape.

#### What is the formula used to determine the volume of a cube?

By using the general formula, we can derive the formula for volume of a cube. So for finding the volume of a cube we should know what is the shape of its base. We know that the base of a cube will be in the form of “square”. So now we need to find its area. The area of square is given as side x side. Here the area of square is length x length. If this area if we multiply by height we will get volume of cube. Therefore, volume of cube is given as cube of length i.e. ${ l }^{ 3 }$

##### How to find length of cube with its volume?

We know volume of a cube formula, form that we can find the length. If we simply by taking cube to other side it changes to cube root and we will get length value.

Volume = ${ l }^{ 3 }$

$\sqrt [ 3 ]{ volume }$= length

Therefore, length is equal to the  cube root of volume. 