Question
Two cube have their volumes in the ratio 1 : 17. Find the ratio of their surface area ..
Answer: Option A
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Let their edge be a and b . Then ,
`a^3/b^3 = 1/27`
or `(a/b)^3 = (1/3)^3`
or` a/b = 1/3`
`:.` Ratio of their surface areas = `(6a^2)/(6b^2) = a^2/b^2 = (a/b)^2 = 1/9, i.e. 1 : 9`
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