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Question

The volume of the two cubes are in the ratio 64:27. Find the ratio of their surface area.


A

9:16

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B

16:25

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C

16:9

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D

4:3

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Solution

The correct option is C

16:9


Given: Ratio of their volume = 64:27.

Volume of cube of side aVolume of cube of side b=a3b3=6427

ab=43
Now, ratio of their surface area =Surface area of cube of side aSurface area of cube of side b=6a26b2=a2b2=4232=169
ab=43
Therefore, the required ratio is 16:9.


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