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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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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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