[math-fun] Almost integer cuboid problem
16 Sep
2008
16 Sep
'08
11:29 a.m.
Let an almost integer cuboid (rectangular box with rectangular edges and face diagonals) have edges a, b, c. What is the largest integer necessarily dividing abc?
16 Sep
16 Sep
2:07 p.m.
I guess you mean integer edges and face diagonals, and I guess the answer is 95040. But I didn't prove it. On Tue, Sep 16, 2008 at 6:29 AM, David Wilson <davidwwilson@comcast.net> wrote:
Let an almost integer cuboid (rectangular box with rectangular edges and face diagonals) have edges a, b, c. What is the largest integer necessarily dividing abc?
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James Buddenhagen