Question

The total surface area of a cube is 864 cm². Its volume is ______.

Options

• 3456 cm³

• 432 cm³

• 1728 cm³

• 3456 cm³

Answer 1

The total surface area of a cube is 864 cm². Its volume is 1728 cm³.

Explanation:

Let the edge of the cube be a.

Total  surface area of the cube = 6a² 

6a² = 864

a² = 144

a = 12 cm

Therefore, Volume of the cube = a³ 

= (12 × 12 × 12) cm³ 

= 1728 cm³