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AIME Problems
1992 AIME Problems
7
7
Part of
1992 AIME Problems
Problems
(1)
Tetrahedron Volume
Source:
2/13/2006
Faces
A
B
C
ABC
A
BC
and
B
C
D
BCD
BC
D
of tetrahedron
A
B
C
D
ABCD
A
BC
D
meet at an angle of
3
0
ā
30^\circ
3
0
ā
. The area of face
A
B
C
ABC
A
BC
is
120
120
120
, the area of face
B
C
D
BCD
BC
D
is
80
80
80
, and
B
C
=
10
BC=10
BC
=
10
. Find the volume of the tetrahedron.
geometry
3D geometry
tetrahedron
trigonometry
AMC
AIME