Question
Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.
Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.
Answer: Option C
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Let their edges be a and b.
a3/b3 = 1/27
(a/b)3 = (1/3)3
(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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