Question

The area of three adjacent faces of a cube is x,y,z .Its volume is

Answer 1

rootx into rooty into rootx

Answer 2

Let the sides of the cube be a.Given x, y and z are areas of three adjacent faces of the cuboid Hence x=aa,  y=aa, z=aa
volume= (x)(y)(z) = (aa)(aa)(aa)
 xyz= (a)6 
a= 6√xyz 
Thus the volume of cube, V= a3 = √xyz