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France Contests
French Mathematical Olympiad
1997 French Mathematical Olympiad
Problem 3
Problem 3
Part of
1997 French Mathematical Olympiad
Problems
(1)
orthogonal projection of unit cube onto plane
Source: French MO 1997 P3
4/10/2021
Let
C
C
C
be a unit cube and let
p
p
p
denote the orthogonal projection onto the plane. Find the maximum area of
p
(
C
)
p(C)
p
(
C
)
.
geometry
3D geometry