Question

if the area of three adjacent faces of cuboid are X Y and Z respectively find the volume of cuboid​

Answer 1

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QUESTION :-

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if the area of three adjacent faces of cuboid are X Y and Z respectively find the volume of cuboid.

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ANSWER:-

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LET THE SIDE OF CUBOID.

BE a, b AND c.

[GIVEN:- X, Y AND Z IS ARE AREAS THREE ADJACENT FACES OF CUBOID. ]

.°.X=AB ,Y=BC AND Z=CA.

.°.(x) (y) (z) =(AB) (BC) (CA)

.°.xyz=(A+A)(B+B)(C+C)

.°.XYZ=2A+2B+2C

.°.XYZ=(ABC)2

.°.ABC=√XYZ

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HENCE,

THE VOLUME OF CUBOID IS √XYZ.

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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