1984 AIME Problems/Problem 9
Problem
In tetrahedron , edge
has length 3 cm. The area of face
is
and the area of face
is
. These two faces meet each other at a
angle. Find the volume of the tetrahedron in
.
Solution
Position face on the bottom. Since
, we find that
. The height of
forms a
with the height of the tetrahedron, so
. The volume of the tetrahedron is thus
.
See also
1984 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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