Difference between revisions of "1992 AIME Problems/Problem 7"
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== Problem == | == Problem == | ||
| + | Faces <math>ABC^{}_{}</math> and <math>BCD^{}_{}</math> of tetrahedron <math>ABCD^{}_{}</math> meet at an angle of <math>30^\circ</math>. The area of face <math>ABC^{}_{}</math> is <math>120^{}_{}</math>, the area of face <math>BCD^{}_{}</math> is <math>80^{}_{}</math>, and <math>BC=10^{}_{}</math>. Find the volume of the tetrahedron. | ||
== Solution == | == Solution == | ||
Revision as of 22:31, 10 March 2007
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
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