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
Three equations, three unknowns.
Solving gives a=10, b=12, c=8
Therefore, volume = abc = 960 cubic inches.