1.

Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.

Answer»

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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