A rectangular box has a square base with edge length x of at least 1 unit. The total surface area of its six sides is 150 square units. What is this greatest possible volume? Find the dimensions of the box with the greatest possible 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 25CR
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A rectangular box has a square base with edge length x of at least 1 unit. The total surface area of
its six sides is 150 square units. What is this greatest possible volume? Find the dimensions of the
box with the greatest possible volume.
Transcribed Image Text:A rectangular box has a square base with edge length x of at least 1 unit. The total surface area of its six sides is 150 square units. What is this greatest possible volume? Find the dimensions of the box with the greatest possible volume.
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