let the dimensions of cuboid are Length=l breadth=b height =h given area of three faces x,y and z lb=x⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(1) bh=y⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(2) lh=z⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(3) multiply (1),(2) and (3) lb×bh×lh=xyz l2×b2×h2=xyz (lbh)2=xyz v2=xyz since volume of the cuboid= v=lbh