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