Question

The area of the three adjacent faces of a cuboid are x,y and z respectively.Find the volume of the cuboid......​

Answer 1

Answer:

$\sqrt{$xyz

Step-by-step explanation:

Answer :- 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

Answer 2

Answer:

Let l,b,h be length, breadth & height of the cuboid.

ATQ,

x=lb,y=bh,z=lh

∴x⋅y⋅z=l

2

b

2

h

2

⇒xyz=(lbh)

2

⇒Volume=

xyz..

......