Question

Two cubes have their volumes in the ratio 1 :27 find the ratio of their surface area

Answer 1

If the ratio of the volume of two cubes is 1:27.Then the ratio of their sides will be 1:3.

Now ratio of its surface area will be

6×(1×1)/6×(3×3)

6/54 square units.

Answer 2

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