Question

if the areas of the three adjacent faces of a cuboid are x y z respectively, then the volume of the cuboid is​

Answer 1

let the sides of the cubic be a,b and c given x,y and z are areas of three adjacent faces of the cuboid.

hence x= an, y= bc, z=ca

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

xyz = (abc)power2

abc= rootxyz

thus the volume of cuboid, v= rootxyz

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