Question

if the area of the three adjacent faces of a cuboid is X,Y,Z respectively , then find the volume of cuboid

Answer 1

Volume is equal to the root of xyz

Answer 2

Step-by-step explanation:

- Let the sides of the cuboid be a, b and c.

Given x, y and z are areas of three adjacent faces of the cuboid

Hence x=ab,  y=bc, z=ca

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

xyz= (abc)2

abc = √xyz.

Thus the volume of cuboid, V= abc = √xyz