Two cubes have volumes in the ratio 1:64.

Question:

Two cubes have volumes in the ratio 1:64. The ratio of the area of a face of first cube to that of the other is

(a) 1:4

(b) 1:8

(c) 1:16

(d) 1:32

Solution:

The correct answer is option (c) 1:16

Explanation:

Let a and b be two cubes

It is given that, a3/b3 = 1/64

Then a/b = 1/4

Thus, the ratio of the areas are:

(a/b)2 = (1/4)= 1/16

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