Solid geometry › Polyhedra and sections › Angles in pyramids

Volume of tetrahedron from dihedral angle

High school · ●●○○○ 20 pts

Faces ABCABC and BCDBCD of tetrahedron ABCDABCD meet at an angle of 30∘30^\circ. The area of face ABCABC is 120120, the area of face BCDBCD is 8080, and BC=10BC=10. Find the volume of the tetrahedron.

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dihedral anglevolume of tetrahedrontriangle area