Question

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Answer 1

Side (a) of cube = 12 cm

Volume of cube = (a)³ = (12 cm)³ = 1728 cm³

Let the side of the smaller cube be a₁.

Volume of 1 smaller cube

⇒ a₁ = 6 cm

Therefore, the side of the smaller cubes will be 6 cm.

Ratio between surface areas of cubes

Therefore, the ratio between the surface areas of these cubes is 4:1.