Question

Two cubes have their surface areas in the ratio 1:4 , what is the ratio of their volumes ?

Answer 1

1 : 8

Explanation:

For similar figures with ratio of sides = a : b

Then ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 1 : 4

linear ratio =
`√(1)` :
`√(4)` = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8