Faces \( \mathrm{ABC} \) and \( \mathrm{BCD} \) of a tetrahedron \(...
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Faces \( \mathrm{ABC} \) and \( \mathrm{BCD} \) of a tetrahedron \( \mathrm{ABCD} \) meet at an angle of \( 30^{\circ} \). The area of face \( \mathrm{ABC} \) is 120 and the area of face \( \mathrm{BCD} \) is 80 and \( \mathrm{BC}=10 \), then the volume of tetrahedron is
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