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International Contests
IMO Longlists
1979 IMO Longlists
41
41
Part of
1979 IMO Longlists
Problems
(1)
There doesn't exist a pyramid with conditions.
Source: ILL 1979-41
6/2/2011
Prove the following statement: There does not exist a pyramid with square base and congruent lateral faces for which the measures of all edges, total area, and volume are integers.
geometry
3D geometry
pyramid
geometry unsolved