Question

if areas of three adjacent faces of cuboid are X,Y and Z respectively then find volume of cuboid​

Answer 1

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

The volume of cuboid is $\sqrt{XYZ}$

Step-by-step explanation:

Since we have given that

Areas of three adjacent faces are

X,Y and Z

So, It means

$X=lb\\\\Y=bh\\\\Z=lh$

And we know that

$Volume=lbh\\\\Volume^2=l^2b^2h^2\\\\Volume^2=XYZ\\\\Volume=\sqrt{XYZ}$

Hence, the volume of cuboid is $\sqrt{XYZ}$

# learn more:

If the areas of three adjacent faces of a cuboid are X,Y and Z respectively,then find the volume of the cuboid.

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