A box is made by cutting the corners from a
rectangle of cardboard, and then folding the remaining shape upwards.
All sides of the box are different twodigit integers. The box's width
is less than its height, and the depth is greater than the height. Its
volume is numerically twice the area of cardboard that existed before those corners were lopped off. What are


the box's dimensions? Is there more than one solution? 
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Last Updated: January 12th, 2010.