The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that `V^2 = xyz`.

Explanation

Let the `3 `dimensions of the cuboid be ` l,b and h`
So,
` x = lb`
` y = bh`
` z = hl`
multiplying above three equations, `xyz = lb xx bhxx hl`
` = l^2b^2h^2 `
As,
`V = lbh`
So,` V^2 = l^2b^2h^2`
`V^2 = xyz`