Question

A cuboid having surface areas of 3 adjacent faces as a,b and c has the volume ?​

Answer 1

Answer:

Let the sides of the cuboid be a, b & c.

Given x, y & z are areas of 3 adjacent faces of the cuboid.

Hence x=ab, y=bc, z=ca

(x)(y)(z)=(ab)(bc)(ca)

xyz=(abc)

2

⇒abc=

xyz

∴ volume of cuboid =

xyz