Question

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

Answer 1

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The volume of the cube is

= length ×breadth ×height

Here,

x=length , y=breadth, z=height

The volume of the cube

=(X× Y× Z) unit cube

= (XYZ)3 unitcube

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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