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Volume of a tetrahedron

  1. Sep 2, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the volume of a tetrahedron with vertices (0,0,0) (0,0,1) (0,2,0) (2,2,0)

    2. Relevant equations

    3. The attempt at a solution
    The tetrahedron is bounded by the functions z=1-x/4-x/4, z=1-y/2, and y=x
    I integrated z=1-x/4-y/4 first and z=1-y/2 second and subtracted the result
    (they were both negative so I subtracted the result from z=1-x/4-y/4 from z=1-y/2).
    The limits of integration I used when integrating 1-x/4-y/4 were y<x<2 and 0<y<2
    and for 1-y/2, y<x<2 and 0<y<2.
  2. jcsd
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