Part C Increase the number of lateral faces of the pyramid, and replicate some of the intersecting planes you used in question 2. What do you notice about the general shape of the cross sections after increasing the number of faces? Explain your observations.

When the number of lateral faces increases, there are more types of cross-sectional shapes. That’s because there’s a wider range in the possible number of faces that intersecting plane can cut through. For a pyramid with four sides in the base, the intersecting plane can cut through three, four, or five faces. For a pyramid with five sides in the base, the intersecting plane can cut between three and six faces.

Step-by-step explanation:

probability for j is 1/4

while

a is 1/6