19. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 60 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? The length of the square-end edge is in. The box height is in. The greatest volume of the box is in3.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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19. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not
exceeding 60 in. What are the dimensions and volume of a square-based box with the greatest volume under these
conditions?
The length of the square-end edge is
in.
The box height is
in.
The greatest volume of the box is
in3.
Transcribed Image Text:19. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 60 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? The length of the square-end edge is in. The box height is in. The greatest volume of the box is in3.
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