Question

the areas of three adjacent faces of a cuboid are 1,4,,9 find volume​

Answer 1

Answer:

Let the 3 dimensions of the cuboid be l,b and h

So,

x=lb

y=bh

z=hl

multiplying above three equations,

xyz=lb×bh×hl

=l

2

b

2

h

2

As,

V=lbh

So,

V

2

=l

2

b

2

h

2

V

2

=xyz

Hence Proved