To facilitate rapid delivery, Samurai Van Logistic Company requires that all baggage must be in 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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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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To facilitate rapid delivery, Samurai Van Logistic Company requires that all baggage must be
in 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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