Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.
Let their edges be a and b. Then,
a3/b3 = 1/27 (or) (a/b)3 = (1/3)3 (or) (a/b) = (1/3).
\Ratio of their surface area = 6a2/6b2 = a2/b2 = (a/b)2 = 1/9, i.e. 1:9.
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