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Problem of the Week
Posted:
Aug 30, 1993 10:52 AM
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The only thing approaching a solution that we've received is the following:
From daemon Sun Aug 29 21:16:03 1993 Date: Sun, 29 Aug 1993 20:15:48 -0500 From: Kathy Eleanor Dowell <kdowell@tenet.edu> To: pow@forum.swarthmore.edu (Problem of the Week) Subject: Re: Problem of the Week
Where is the solution? This problem has been driving me crazy!!!
Anyone solve this yet? (The old problem, for your reference, is below.)
*****
The problem of the week is a regular instalment here at the geometry forum. Each weekend a high-school level geometry problem will be posted (though levels may be different in the summer), and the following weekend a summary of solutions will be posted.
Please do not post solutions to the problem of the week; instead mail you answer along with as detailed a description of your method as necessary/possible to pow@forum.swarthmore.edu. Solutions should be received by midnight Friday so they can be combined and posted over the weekend.
Problem of the Week 8/16 - 8/20 1993
You are given 27 rectangular solids of dimensions a,b,c. How can they be packed to fit into a cube whose sides are a + b + c? (One should add that a, b, and c are not too different. If c/a and c/b were extremely large, for instance, it would be trivial to stack them like logs. A precise statement would be something like (a+b+c)^3 - 27abc < abc.)
Again, DO NOT POST SOLUTIONS. Mail them to pow@forum.swarthmore.edu by Friday.
From usenet Mon Aug 30 18:36 PD 1993 Path: forum.swarthmore.edu!uunet!cdp!doversherhs From: Dover-Sherborn High School <doversherhs@igc.apc.org> Newsgroups: geometry.pre-college Date: 30 Aug 93 18:36 PDT Subject: JOURNAL Message-ID: <1800700008@igc.apc.org> X-APC-HostID: 1 Sender: Notesfile to Usenet Gateway <notes@igc.apc.org> Lines: 26
Journal Entry-General 8-30-93
This is the first entry in my on-line journal. I am planning to share every practical aspect of my teaching of four high school geometry classes ... mission, objectives, strategies, implementation, assessment models, problems, etc.
I plan to follow Joan Countryman's advice and suspend the editor- in-my-head and just write. Otherwise I know that I could easily spend hours writing and rewriting my entries and eventually slip into despair. So please forgive the grammatical errors, the typos, and the random nature of my thoughts and entries. I will attempt to label the entries in a useful manner. (i.e. Journal Entry-General)
First set of questions: 1. Does this sound like a good idea? 2. Should I simply start a strand and post all my entries in it?
My goal in making this effort is to learn. All feedback is welcome!
Keith Grove Dover-Sherborn High School Dover, MA 02030 1-508-634-9952 (home) 1-508-785-0624 (school)
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