Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N.

Question

Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N. The value of N

^{2}

equals to?

Options:

A . abc

B . (ab+ac+bc)

C . √(a3+b3+c3)

D . None of these

Answer: Option A
:
A
Assume sides to be x,y,z. Then xy=a, yz=b, xz=c.

Multiplying: (xyz)

^{2}

= abc; =N

^{2}

. (Vol=xyz)
Hence Ans: (a)

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