Question

The ratio of surface area of two cubes is 9 : 4. Find the ratio of their volume.

Options

• 3 : 2

• 27 : 8

• 9 : 4

• None of these

Answer 1

27 : 8

Explanation:

Surface area of a cube = 6a²

∴ `(6"a"^2)/(6"A"^2) = 9/4 ⇒ "a"/"A" = 3/2`

Volume = a³

Ratio of Volume = `"a"^3/"A"^3`

= `(3"x")^3/(2"x")^3`

= `27/8`

= 27 : 8