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)2 = 1/16