Setting up double integral

Question

Set up (do not evaluate) a rectangular double integral which gives the volume of the solid in the first octant with faces determined by the planes x + y + z = 6, x + 2y = 6, z = 0, and x = 0.

Answer 1

∫∫(6-x-y)dydx = Volume ... Limits on y are 3-x/2 to 6-x ... Limits on x are 0 to 6