Question

The areas of three adjacent faces of a cuboid are x,y,z and its volume is V square=xyz

Answer 1

Let
l = Length of cuboid.
b = breath of cuboid.
h =  height of cuboid.
So,    x=lb
          y=bh
          z=hl
Now,
    xyz=lb*bh*hl
    xyz=(lbh)^2
    xyz=Volume^2

Answer 2

Step-by-step explanation:

- Let the sides of the cuboid be a, b and c.

Given x, y and z are areas of three adjacent faces of the cuboid

Hence x=ab,  y=bc, z=ca

(x)(y)(z) = (ab)(bc)(ca)

xyz= (abc)2

abc = √xyz

Thus the volume of cuboid, V= abc = √xyz