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Volume of a Cuboid (Posted on 2007-03-02) Difficulty: 1 of 5
The areas of three faces of a cuboid box of chocolates are 120cm², 80cm² and 96cm². What is the volume of the box?

No Solution Yet Submitted by Ansh    
Rating: 2.0000 (2 votes)

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Solution Quick solution | Comment 1 of 7

Let the siides be a, b, and c.

Then ab = 120

<BLOCKQUOTE dir=ltr style="MARGIN-RIGHT: 0px">

ac = 80

bc = 96

</BLOCKQUOTE>

Three equations, three unknowns.

Solving gives a=10, b=12, c=8

Therefore, volume = abc = 960 cubic inches.

 


  Posted by JayDeeKay on 2007-03-02 09:15:34
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