Another Tetrahedron Problem

tetrahedron 2
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A tetrahedron has the following coordinates:

A(1,1,1), B(2,5,-1), C(-1,-3,2), and D(0,3,7)

Find the
  1. Volume.
  2. Surface Area.
  3. The Dihedral Angle formed by faces ABC and BCD.
  4. The equation of the plane containing face ACD.

You should try to plot these points in GeoGebra 3D. The picture below is looking UP at the tetrahedron from below the xy-plane. It is a very thin tetrahedron.

You should try this first before watching the following screencast, pencast, or Nspire document.

Tetrahedron Problem
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