The areas of three adjacent faces of a cuboid are x, y, and z. If the volume is V, prove that V2 = xyz.
Given,
Areas of three faces of cuboid = 
Let length of cuboid = 
So,
= 
= 
= 
Or we can write ,
= 
If ‘V’ is volume of cuboid = V = 
= 
= 
3
The areas of three adjacent faces of a cuboid are x, y, and z. If the volume is V, prove that V2 = xyz.
Given,
Areas of three faces of cuboid =
Let length of cuboid =
So,
=
=
=
Or we can write ,
=
If ‘V’ is volume of cuboid = V =
=
=