The areas of three faces of a cuboid box of chocolates are 120cm², 80cm² and 96cm². What is the volume of the box?

Let the siides be a, b, and c.

Then ab = 120

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ac = 80

bc = 96

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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