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Math Help - volume of the prism

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    volume of the prism

    Q1.Find the volume of the prism whose base is the triangle in xy-plane bounded by the x-axis and the lines y=x and x=1 and whose top lies in the plane.
    z = f(x,y) = 3 - x - y
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    Quote Originally Posted by m777 View Post
    Q1.Find the volume of the prism whose base is the triangle in xy-plane bounded by the x-axis and the lines y=x and x=1 and whose top lies in the plane.
    z = f(x,y) = 3 - x - y
    V = \int \int_{R_{xy}} \left[\int_{z=0}^{z=3-x-y} \, dz \right] \, dx \, dy

    where R_{xy} is the region in the xy-plane defined by the projection of the volume V onto the xy-plane.

    And you can do a double integral over a region in the xy-plane, right?
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