Difference between revisions of "1984 AIME Problems/Problem 9"
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== Solution == | == Solution == | ||
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/* modified version of olympiad modules */ | /* modified version of olympiad modules */ | ||
import three; | import three; |
Revision as of 19:36, 11 May 2015
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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |