Maximizing volume. From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 15E
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Maximizing volume. From a 50-cm-by-50-cm sheet of
aluminum, square corners are cut out so that the sides can
be folded up to make a box. What dimensions will yield a
box of maximum volume? What is the maximum volume?
Transcribed Image Text:Maximizing volume. From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?
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