1992 AIME Problems/Problem 7
Problem
Faces and of tetrahedron meet at an angle of . The area of face is , the area of face is , and . Find the volume of the tetrahedron.
Solution
Since the area , the perpendicular from to has length .
The perpendicular from to is . Therefore, the volume is .
See also
1992 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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