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The volume of a rectangular pyramid is given by the formula V = 1/3 * base area * height.
In this case, the base area is calculated as the length times the width, so 7.5 miles * 7 miles = 52.5 square miles.
Therefore, the volume of the rectangular pyramid is V = 1/3 * 52.5 square miles * 5 miles = 87.5 cubic miles.
So, the volume of the rectangular pyramid is 87.5 mi^3.