A covered box is to be made from a rectangular sheet of cardboard measuring 45 inches by 72 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? X= y = Z= inches inches inches Ex+

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
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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A covered box is to be made from a
rectangular sheet of cardboard measuring
45 inches by 72 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?
X =
y =
Z=
inches
inches
inches
+*+
Transcribed Image Text:A covered box is to be made from a rectangular sheet of cardboard measuring 45 inches by 72 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? X = y = Z= inches inches inches +*+
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