Question

The volume of a cube is 216 cm³. Its surface area is ______.

Options

• 216 cm²

• 96 cm²

• 156 cm²

• 144 cm²

Answer 1

The volume of a cube is 216 cm³. Its surface area is 216 cm².

Explanation:

Step 1: Find the side length of the cube

The volume V of a cube is given by the formula:

V = s³

where s is the side length of the cube.

We are given that the volume is 216 cm³

s³ = 216

Taking the cube root of both sides:

`s = root(3)(216)` = 6 cm

Step 2: Find the surface area of the cube

The surface area A of a cube is given by the formula:

A = 6s²

Substitute s = 6:

A = 6 × 6²

= 6 × 36

= 216 cm²