The areas of three faces of a cuboid box of chocolates are 120cm², 80cm² and 96cm². What is the volume of the box?

Let the area of the three faces of a given cuboid be A, B and C.

Let the cuboid's volume be V and the sides of the cuboid be p, q and r.

Then pq = A; pr = B; qr = C and pqr = V

Accordingly:

V = pqr

= sqrt(pq*pr*qr)

= sqrt(ABC)

In the given problem:

A = 120; B = 80 and C = 96; and so:

The required volume (V)

= sqrt(120*80*96)

= 960 cubic centimetres.

*Edited on ***March 2, 2007, 9:48 am**

*Edited on ***March 2, 2007, 9:56 am**

*Edited on ***March 2, 2007, 10:42 am**