Question:The breadth of a room is twice its height and half its length. The volume of the room is `512 cu.m. The length of the room is : 

A `12 m` 
B `16 m` 
C `32 m` 
D `20 m` 

+ Answer
B 

+ Explanation
Suppose height = x metres . Then, 

breadth = 2x metres and length = 4x metres.

`:. x xx 2x xx 4x = 512`

`or x^3 = 64`

`or x = 4`.

`:. Length = 4x = 16 m.

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Irin Moni

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