Engineering Board Exam Reviewer · Solid Analytic Geometry · hard

Find the volume of the tetrahedron with vertices (1,1,1), (3,1,1), (1,4,1) and (1,1,6).

  1. 10
  2. 30
  3. 15
  4. 5

Answer

D. 5

Solution

From (1,1,1) the edge vectors are (2,0,0), (0,3,0) and (0,0,5). V= 16| |=1/6(2)(3)(5)=5.

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