An open-top box is to be made by cutting small congruent squares from the corners of a 12-in.-by-12-in. sheet of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much as possible?

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 22E: A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches...
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An open-top box is to be made by cutting small congruent squares from
the corners of a 12-in.-by-12-in. sheet of tin and bending up the sides. How large should the
squares cut from the corners be to make the box hold as much as possible?

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