The ratio of the volumes of two cubes is 27 : 64. What is the ratio of their surface areas?

Topic: Geometry &amp; Mensuration
Subtopic: Cube

A3 : 4

B9 : 16

C27 : 64

D81 : 256

Explanation

Ratio of volumes = a1^3 : a2^3 = 27 : 64 => Ratio of sides = a1 : a2 = 3 : 4. Ratio of surface areas = 6*a1^2 : 6*a2^2 = 3^2 : 4^2 = 9 : 16.

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