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Volume of A Cube- Definition, Formula, and Examples


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

Volume of Cube

A cube with side length 2 has volume 2.
A cube with side length a has volume a 3.

Volume of Cube = a

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 cm3

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.