Question

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


The first person to answer correctly will be given brainliest.

Answer 1

- 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