Question

The breadth of a cuboid is doubled, the length is increased four times and the height is reduced to one third, find the new volume of the cuboid.

Answer 1

Let, the original length, breadth and height of the cuboid be $l,b,$ and $h$ respectively.

Therefore, new length = $4l$

New breadth = $2b$

New height = $\frac{1}{3}h$

Initial Volume = $lbh$

New Volume = $\frac{1}{3}\times 2\times 4\left(lbh\right)$ = $\frac{8}{3}lbh$