Consider the tetrahedron formed by the four points P(0, 0, 0), Q(8, 0, 0), R(0,6, 0), and S(0, 0, 4). (a) Find the equations of the "top" plane formed by Q, R, and S and the "bottom" plane formed by P, Q, and R. (b) Sketch a graph of the 2D shadow onto the xy-plane. Be sure to label the axes and shade in the region. (c) Express the volume of the tetrahedron as a triple integral. Evaluate the triple integral to find the volume.

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