Question

The total surface area of a cube is 1176 cm². Find its volume.

Answer 1

Consider a cm as each side of the cube

We know that

Total surface area of the cube = 6a²

By substituting the values

6a² = 1176

On further calculation

a² = 1176/6

So we get

a² = 196

By taking square root

a = √ 196 = 14cm

We know that

Volume of cube = a³

By substituting the values

Volume of cube = 14³

So we get

Volume of cube = 2744 cm³

Therefore, the volume of cube is 2744 cm³.