9. One farmer made cheese in the form of an irregular pentagonal prism, while another made it in the form of a regular quadrilateral pyramid, the height of which is half the length of the side of the base. At night, mice ate all the cheese particles from the vertices of these polyhedra that were no more than 1 cm away from the corresponding vertex. The eaten pieces of cheese did not share any particles. Which farmer suffered greater damage and by how many times?
Answer. The damage to the first farmer is 4.5 times greater.

Criteria. «Shi» Correctly calculated the volume of at least one of the two eaten parts.