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ERIC Number: EJ858380
Record Type: Journal
Publication Date: 2009-Nov
Pages: 7
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
Minimal Solutions to the Box Problem
Chuang, Jer-Chin
College Mathematics Journal, v40 n5 p354-360 Nov 2009
The "box problem" from introductory calculus seeks to maximize the volume of a tray formed by folding a strictly rectangular sheet from which identical squares have been cut from each corner. In posing such questions, one would like to choose integral side-lengths for the sheet so that the excised squares have rational or integral side-length. Building on the work of Philip Hotchkiss that earlier appeared in this Journal, we find the dimensions of the smallest sheet with distinct integral side-lengths such that the side-lengths of the excised squares are rational or integral.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A