Question

a cuboid having surface areas of three adjacent faces as xyz has the volume

Answer 1

we know the formula , volume of cuboid in terms of sides .. so we can convert it in form of side and then put in formula ..so we can get the volume in term of area.

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