## What is the Volume of a Cube?

The Platonic solid which has a square for every face. It is a solid three-dimensional figure, which has 6 faces, 12 edges and 8 vertices.

## Volume of a cube

A cube with side length 2 has volume 2.

A cube with side length a has volume a ^{3}.

**Volume of Cube = a ^{3 }**

or

**Volume of a cube = (length of sides of the cube) ^{3}**

### Solved Examples of Cube

**Example 1: Find the volume of the cube, having the sides of length 6 cm.**

**Solution**:

Given, the length of sides of the cube is 6 cm.

We know, Volume of a cube = (length of sides of the cube)^{3}

Therefore, Volume, V = (6 cm)^{3}

V = 216 cm^{3}

**Example 2: Find the length of the edges of the cube, if its volume is equal to 343 cm ^{3}.**

Solution:

Given, Volume of the cube = **343 cm ^{3}**

Let the length of the edges is ‘a’.

We know, by the formula,

The volume of a cube = (length of edges of the cube)3

Substituting the value, we get,

343 = a ^{3}

Or a = 3√343

Or a = 7 cm

Therefore, the length of the cube is 7 cm.