MathDB

9

Part of 1984 AIME Problems

Problems(1)

A Tetrahedron ABCD

Source:

12/19/2005
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.
geometry3D geometrytetrahedrontrigonometryAMCAIME