Question

The area of three adjacent face of a cuboid are x , y & z if the volume is v then find the volume ?

Answer 1

Let a,b,c be the sides of a cuboid
Then area of each face is ab=x
bc=y
ca=z
Volume of cuboid =abc
xyz =a.a.b.b.c.c
So, volume=abc=(xyz)^1/2

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