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Math Help - Calculate the volume of the tetrahedron

  1. #1
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    Calculate the volume of the tetrahedron

    for this problem :

    Calculate the volume of the tetrahedron whose vertices are y=0, z=0, x=0 και y-x+z=1

    this integral is it the corect one ?

    \int_{x=0}^{1}\int_{y=0}^{-y+1}\int_{z=0}^{z=x-y+1}dG=\int_{0}^{1}\int_{y=0}^{-y+1}(x-y+1) dydx
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  2. #2
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    Re: Calculate the volume of the tetrahedron

    They both look fine to me...
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  3. #3
    MHF Contributor matheagle's Avatar
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    Re: Calculate the volume of the tetrahedron

    Are you sure of that plane?
    Because when you let z equal zero it makes a odd slice in the xy plane
    It's y=1+x which isn't going to give you a closed region with the x and y axis.
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