A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from the four corners and then folding up the sides. What squares should be cut to obtain a box with the largest possible volume? What will this maximum volume be?

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
Section9.4: Polyhedrons And Spheres
Problem 28E: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the...
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A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from the four
corners and then folding up the sides. What squares should be cut to obtain a box with the largest possible volume?
What will this maximum volume be?
Transcribed Image Text:A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from the four corners and then folding up the sides. What squares should be cut to obtain a box with the largest possible volume? What will this maximum volume be?
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