An open box is to be made out of a 9-inch by 17-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes. Maximum volume: Minimum 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.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 35E
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An open box is to be made out of 9-inch by 17-inch piece of cardboard by cutting out squares of equal size from the four corners and blending up the sides. If the box needs to be at least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes. 

An open box is to be made out of a 9-inch by 17-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at
least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes.
Maximum volume:
Minimum volume:
Transcribed Image Text:An open box is to be made out of a 9-inch by 17-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes. Maximum volume: Minimum volume:
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