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A Tetrahedron ABCD

Source:

December 19, 2005
geometry3D geometrytetrahedrontrigonometryAMCAIME

Problem Statement

In tetrahedron ABCDABCD, edge ABAB has length 3 cm. The area of face ABCABC is 15 cm2\text{cm}^2 and the area of face ABDABD is 12 cm2\text{cm}^2. These two faces meet each other at a 30āˆ˜30^\circ angle. Find the volume of the tetrahedron in cm3\text{cm}^3.
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