Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the box plus the perimeter of the base equals 108 inches. Find the dimensions of the box that maximize its volume.
Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the box plus the perimeter of the base equals 108 inches. Find the dimensions of the box that maximize its 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.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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![Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the
box plus the perimeter of the base equals 108 inches. Find the dimensions of the box that
maximize its volume.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1e74c30-8d5e-404d-a44e-c357aeb7464a%2Fb1d550ca-03be-4824-adf2-cce6e1fcf5b1%2Fz8bywiq_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the
box plus the perimeter of the base equals 108 inches. Find the dimensions of the box that
maximize its volume.
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