Faces A B C and B C D of tetrahedron A B C D meet at an angle of 30^{\circ}. The area of face A B C is 120, the area of face B C D is 80, and B C=10. Find the volume of the tetrahedron.
Faces A B C and B C D of tetrahedron A B C D meet at an angle of 30^{\circ}. The area of face A B C is 120, the area of face B C D is 80, and B C=10. Find the volume of the tetrahedron.