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Factorize the Box

A cuboid box has a height of xx and a base diagonal (in blue) of length 2x2x.

Considering the triangle ABCABC separately, its height (in red) is yy, partitioning the (blue) base into xyx-y and x+yx+y, as shown above right.

If the volume of the box is 108, what is the value of yy?

Hint: This wiki can help.


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