1976 USAMO Problems/Problem 4

Revision as of 16:03, 3 January 2009 by Minsoens (talk | contribs) (New page: ==Problem== If the sum of the lengths of the six edges of a trirectangular tetrahedron <math>PABC</math> (i.e., <math>\angle APB=\angle BPC=\angle CPA=90^o</math>) is <math>S</math>, deter...)
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Problem

If the sum of the lengths of the six edges of a trirectangular tetrahedron $PABC$ (i.e., $\angle APB=\angle BPC=\angle CPA=90^o$) is $S$, determine its maximum volume.

Solution

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See also

1976 USAMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5
All USAMO Problems and Solutions
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