Question

if X,Y and Z are The Areas Of three Adjacent Faces Of A cuboid , v is the Volume .
Then Prove That
XYZ = V²

And Also Show How Cuboid Looks ​

Answer 1

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• Let l , b and h Be the length , breadth and height Of Cuboid Then

• x = l×b
• y = b×h
• z = l×h

Also , V = l×b×h

Volume = abc

Surface area = 2 ( ab+bc+ca)

Now, LHS = 1/v = 1/abc

RHS = 2/S (1/a +1/b +1/c)

--------= 2/s ( bc + ca + ab/abc)

2 ( ab+bc+ca ) / S × abc =. S/S × abc = 1/abc

LHS = RHS (Proved)

Note - (/) slash refers To Fraction Bar

[Vinculum]

and ,

See the Attached file