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Vietnam Contests
Vietnam National Olympiad
1963 Vietnam National Olympiad
4
4
Part of
1963 Vietnam National Olympiad
Problems
(1)
Volume of the tetrahedron
Source: Vietnam NMO 1963 Problem 4
2/2/2009
The tetrahedron
S
.
A
B
C
S.ABC
S
.
A
BC
has the faces
S
B
C
SBC
SBC
and
A
B
C
ABC
A
BC
perpendicular. The three angles at
S
S
S
are all
6
0
ā
60^{\circ}
6
0
ā
and SB \equal{} SC \equal{} 1. Find the volume of the tetrahedron.
geometry
3D geometry
tetrahedron
geometry unsolved