An airline policy states that all baggage must be box-shaped with a sum of the length, width, and height not exceeding 120 inches. What are the dimensions and volume of a square-based box with the  greatest volume under these conditions?

Elementary Geometry For College Students, 7e
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Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...
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An airline policy states that all baggage must be box-shaped with a sum of the length, width, and height not exceeding 120 inches. What are the dimensions and volume of a square-based box with the  greatest volume under these conditions?

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