Question

The volume of a cube whose surface area is 384 cm², is __________.

Answer 1

Let the edge of cube be a cm.

Surface area of the cube = 384 cm² (Given)

⇒ 6a² = 384 cm²

⇒ a² = 64

⇒ a = $\sqrt{64}$ = 8 cm

∴ Volume of the cube = a³ = (8 cm)³ = 512 cm³

Thus, the volume of the cube is 512 cm³.

The volume of a cube whose surface area is 384 cm², is ___512 cm³___.