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The volume of the shed is width times length times height. So height is 440/(10x8) = 44/8 = 11/2 = 5 1/2. However, this is the average height. The shed could be 6 feet high at one end and 5 feet high at the other. It could also be 11 feet high at one end and 0 feet high at the other. So the maximum interior height is 11 feet.

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Q: How do you find the maximum interior height of a shed that is 10'W x 8'L and occupies 440 cu. ft. Assume that the angle at the apex of the roof is 120 degrees.?
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