Quantitative Aptitude Ques 1093

Question: The areas of three consecutive faces of a cuboid are $ 12cm^{2}, $ $ 20cm^{2} $ and $ 15cm^{2}, $ then the volume (in $ cm^{3} $ ) of the cuboid is

Options:

A) 3000

B) 100

C) 80

D) 60

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] If the length, breadth and height of the cuboid be x, y and z cm respectively, then $ xy=12, $ $ yz=20, $ $ zx=15 $
    $ \therefore $ $ x^{2}y^{2}z^{2}=12\times 20\times 15=3600cm^{6} $
    $ \therefore $ $ V=xyz=\sqrt{3200}=60cm^{3} $
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