Question

If the ratio of volumes lf two cubes is 1 : 27 find the ratio of their surface areas

Answer 1

Given :-

Ratio of volume = 1:27

To Find :-

Ratio of SA

Solution :-

We know that

Volume of cube = edge³

Let the edge be a and other edge be a'

a³/a'³ = 1/27

a/a' = ∛1/∛27

a/a' = 1/3

Now

TSA/TSA' = 6(1)²/6(3)²

TSA/TSA' = 6(1)/6(9)

TSA/TSA' = 1/9