A 63-inch by 168-inch pieceof cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding the flaps on each side. What is the area of the square that should be cut from each corner to get a container with the maximum 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
Section9.1: Prisms, Area And Volume
Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...
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A 63-inch by 168-inch pieceof cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding the flaps on each side. What is the area of the square that should be cut from each corner to get a container with the maximum volume? 

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