Question

If the ratio of the volumes of two cubes is 1:8, then find the ratio of the total surface areas
of the two cubes.
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Answer 1

The answer for the question is 1:4

Answer 2

Given :-

Ratio of volume = 1:8

To Find :-

Ratio of TSA

Solution :-

We know that

Volume of cube = a³

Let the side be a and a'

a³/a'³ = 1/8

a/a' = ∛1/∛8

a/a' = 1/2

Now

Surface area of cube = 6a²

SA/SA' = 6(1)²/6(2)²

SA/SA' = 6 × 1/6 × 4

SA/SA' = 6/24

SA/SA' = 1/4