Question

The areas of three adjacent faces of a cuboid are x,y and z. Its volume is V,prove that v2=xyz.

Answer 1

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Answer 2

$<b>$Answer :

Given,

Area of 3 adjacent faces of a cuboid = x, y, z

V = volume of cuboid

Let , a,b,c are respectively length , breadth, height of each faces of cuboid

So,

x = ab

y = bc

z = ca

V = abc

Hence , xyz = ab×bc×ca = (abc)² = v² (v=abc)

v² = xyz

Hence Proved.