Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
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121 and 196
There are infinitely many boxes that will fit 200 inch cubes and have space left over and the question does not exclude such boxes. However, there are 12 boxes that will just fit 200 inch cubes.
-100 + 200 = 100
Watch closely:50/200 = 0.25 = 25 %
200