Considering the integration for evaluating the triple integral of a function F(x, y, z) over the region bounded as shown in the diagram can be setup to determine the volume of the parallelepiped. Show and determine the volume in the form of fº Sª s! dzdydx as the base is a rectangle in the z = 0 plane given by 0 < x < 2, 0 < y s 4, while the top lies in the plane x + y + z = 6. a. Explain and discuss why the volume must be divided into two divisions, V = p, dydxdz + SSlo, dydxdz. Hence, evaluate the volume of the parallelepiped in the order of dydxdz. Verify the answer. b.

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