The area of three adjacent faces of cuboid are x,y& z if it\'s volume is v then show that v^2=xyz

The area of three adjacent faces of cuboid are x,y& z if it\'s volume

1.	The area of three adjacent faces of cuboid are x,y& z if it\'s volume is v then show that v^2=xyz
Answer» Let the length, breadth and height of the cuboid be l, b and h units respectively.x = lb, y\xa0= bh, z\xa0= hl∴ xyz\xa0= (lb) (bh) (hl) = l2b2h2 . . . (1)Again v = lbh∴ v2 = (lbh)2 = l2b2h2 . . . (2)From (1) and (2)v2 = xyz