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Question

The areas of three adjacent faces of a cuboid are a,b and c. If the volume of the cuboid is V, then what is V2 equal to

A
abc
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B
ab+c
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C
a+b+c
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D
None of these
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Solution

The correct option is A abc
Let the length breadth and height of the cuboid be x,y and z units respectively.
Then x×y=a,y×z=b,x×z=c
x×y×y×z×x×z=a×b×c
x2y2z2=abc
(xyz)2=abc
V2=abc
477876_273503_ans_010a71579cfc4ce7b4c3bc4162da9357.png

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