15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8" by 15" piece of cardboard and then folding up the sides. What are the dimensions of the box of greatest volume that can be made in this way? What is that 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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15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8" by 15" piece of
cardboard and then folding up the sides. What are the dimensions of the box of greatest volume that can be made in
this way? What is that volume?
Transcribed Image Text:15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8" by 15" piece of cardboard and then folding up the sides. What are the dimensions of the box of greatest volume that can be made in this way? What is that volume?
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