Question

If areas of three adjacent faces of cuboid be $x,y$ and $z$ respectively, then find the volume of the cuboid.

Answer 1

Let $l,b,h$ be length, breadth & height of the cuboid.

ATQ,

$x=lb,y=bh,z=lh$

$\therefore x\cdot y\cdot z=l^2{b}^2{h}^2$

$\Rightarrow xyz=(lbh{)}^2$

$\Rightarrow Volume=\sqrt{xyz}$