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A Diophantine Equation from Calculus

This article revisits the famous calculus optimization problem of removing four corner squares from a sheet and folding up the edges to form a box of maximal volume. The authors analyze the possible choice of positive integer dimensions of the sheet that result in a maximal box with rational volume.
Old Node ID: 
1642
MSC Codes: 
Author(s): 
George P. Graham (Indiana State University) and Charles E. Roberts (Indiana State University)
Publication Date: 
Tuesday, October 23, 2007
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
April, 1989
Subject(s): 
Single Variable Calculus
Calculus
Diophantine Equations
Number Theory
Algebra
Algebra and Number Theory
Topic(s): 
Differentiation: General Applications
Diophantine Problems
Divisibility
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
24.00
Rating Sum: 
66.00
Rating Average: 
2.75
Author (old format): 
George P. Graham and Charles E. Roberts
Applicable Course(s): 
4.3 Number Theory
3.4 Non-mainstream Calc I
3.1 Mainstream Calculus I
3.0 Calculus
Modify Date: 
Friday, August 24, 2012
Average: 2.8 (24 votes)

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