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Question

The volume of two cubes are in the ratio  8 : 27. The ratio of  their surface areas is  :


Options:
A .  2 : 3
B .  4 : 9
C .  12 : 9
D .  None of these
Answer: Option B

Let their edges be a and b .  Then ,

`a^3/b^3 = 8/27`

`hArr    (a/b)^3 = (2/3)^3`

`hArr    a/b = 2/3`

`hArr   a^2/b^2 = 4/9`

`hArr    (6a^2)/(6b^2) = 4/9` =  4 : 9



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