Question

Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.

Answer 1

The perimeter of a cube formula is, Perimeter = 4a where ( a = length ) 

Given that perimeter of the face of the cube is 32 cm

⇒ 4a = 32 cm

⇒ a = `( 32 )/( 4 )`

⇒ a = 8 cm 

We know that surface area of a cube with side 'a' = 6a² 

Thus, Surface area = 6 × 8² = 6 × 64 = 384 cm²

We know that the volume of a cube with side 'a' = a³

Thus, volume = 8³ = 512 cm³