Question

if areas of three adjacent faces of a cuboid be X, Y and Z respectively then find the volume of the cuboid

Answer 1

Hello....

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

Here,

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