Use the following image to answer the questions below. The base is a regular pentagon and the vertex is directly above the center of the base:
a. If you knew the dimensions of this solid, how would you calculate the surface area?
b. How would you calculate the volume?
c. How does the volume of this pentagonal pyramid compare to the volume of a prism with a congruent pentagonal base and a congruent height?
d. What cross-sectional shapes, regular or irregular, could you get by cutting a plane through this figure? Explain your answer.