An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard and then folding up the sides. What size square should be cut from each corner in order to produce a box of maximum volume? What will be 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.CR: Review Exercises
Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...
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An open box will be made by cutting a square from each corner of a 10-cm by 16-cm piece of cardboard and then folding up the sides. What size square should be cut from each corner in order to produce a box of maximum volume? What will be the maximum volume?

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