Question 62

If the volumes of two cubes are in the ratio of 64 : 125, then whatis theratio of their total surface areas?

Solution

Let the side of the cube be 's'.

GIven, Volumes of two cubes are in the ratio of $$\frac{64}{125} = \frac{4^3}{5^3}$$

=> s1: s2 = 4 : 5

Surface Area =$$6s^2$$

Their ratio = $$\frac{4^2}{5^2} = 16:25$$

So, the answer would be option c)16 : 25.

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