A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches. This is done by cutting out the shaded regions of the figure and then folding on the dotted lines.   What are the dimensions x, y, and z that maximize the volume?

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
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches. This is done by cutting out the shaded regions of the figure and then folding on the dotted lines.

 

What are the dimensions x, y, and z that maximize the volume?

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