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Question

The diagonal of a cube is `6sqrt(3)` cm. Find its volume and surface area .


Options:
A .  208 `cm^2`
B .  210 `cm^2`
C .  214 `cm^2`
D .  216 `cm^2`
Answer: Option D

Let he edge of the cube be a

`:.`        `sqrt(3) a = 6sqrt(3)`

`rArr     a = 6`

So, volume  = `a^3 ` = (6 x 6 x 6) `cm^2` = 216 `cm^2`

Surface area  = `6a^2` =  ( 6 x 6 x 6) `cm^2` =  216 `cm^2`




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