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Question

Two cubes have volumes in the ratio 1 : 27 . Then the ratio of the area of the face of one of the cubes to that of the other is :


Options:
A .  1 : 3
B .  1 : 6
C .  1 : 9
D .  1 : 12
Answer: Option C

Let their edges be a and b . Then

`a^3/b^3 = 1/27`

`hArr   (a/b)^3 = (1/3)^3`

`hArr a/b = 1/3`

`hArr a^2/b^2 = 1/9` = 1 : 9



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