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A parcel service will only accept packages with a length of no more than 96 inches and length plus girth of no more than 150 inches. (See the figure...

A parcel service will only accept packages with a length of no more than 96 inches and length plus girth of no more than 150 inches. (See the figure below.) Assuming that the front face of the package (as shown in the figure) is square, what is the largest volume package that the parcel service will accept?

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