Math, asked by imran86, 1 year ago

a cuboid having surface areas of three adjacent faces as x, y, z has the volume

Answers

Answered by ipal9192
96


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

Answered by Anonymous
34

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

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