Question

The breadth of a room is twice its height and half its length and volume of the room is $512$ cub meter. How high is the roof of the room?

Answer 1

Let $x$ be the height of the room Its breadth is therefore $2x$ and length $4x$.

volume of the cube = $2x\times 4x\times x$

$8x^3$ = 512 cubic meters

$x=4cm$

so the height of room =$4cm$