Part A: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Part A: Rectangle

Part B: Rectangle

Step-by-step explanation:

We are given a rectangular prism as shown.

Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.

Thus, the cross-sectional region is a RECTANGLE.

Part B: After slicing the rectangular prism with a plane perpendicular to the base, we see that the cross-sectional region will be similar to a rectangle.

Thus, the cross-sectional region is again a RECTANGLE.

Hence, for both the parts, the cross sectional plane is a Rectangle.