Question

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

Answer 1

Let us assume the edge of the cube be a 

We know that, 

Total surface area of the cube = 6a²

6a² = 1176 cm²

a = \(\sqrt{\frac{1176}{6}}{}\)

a = \(\sqrt{196}\)

a = 14 cm 

We also know that, 

Volume of the cube = a³ = (14)³ 

= 2744 cm³