1)

The breadth of a room is twice its height, one half its lenght and the volume of the room is 512 cu.m.Find the height of the room.


A) 4m

B) 8m

C) 16m

D) 32m

Answer:

Option A

Explanation:

Let the height of the room be xm.

$b = 2h\Rightarrow b=2x Also, b=\frac{l}{2}$$\Rightarrow$ $l=2b=4x$

Volume of room $=lbh=4x\times 2x\times x$

$8x^{3}=512m^{3}$$\Rightarrow x^{3}=64,x=4m$