Question

If a,b,c denote the area of there adjacent faces of a cuboid then find its volume in terms of a,b.c

Answer 1

volume of a cuboid=lbh
a=lxb
b=bxh
c=hxl
abc=lbx bhx hl
abc=l square x b square x h square
root(abc)=lbh
therefore volume of the cuboid = root(abc)

Answer 2

volume is cube=lbh and a=lb , b=bh and c=hl and total surface area =lbbhhl and root (abc)=abc so volume in terms of abc =root (abc)