A lapidary received from a jeweler the commission to work on a precious stone whose shape is that of a pyramid, as illustrated in Figure 1. To do so, the lapidary will make four cuts of equal formats at the corners of the base. The removed corners correspond to small pyramids, at the vertices $P, Q, R$ and $S$, along the dashed segments, illustrated in Figure 2. After making the cuts, the lapidary obtained, from the larger stone, a polyhedral jewel whose numbers of faces, edges and vertices are, respectively, equal to (A) 9, 20 and 13. (B) 9, 24 and 13. (C) 7, 15 and 12. (D) 10, 16 and 5. (E) 11, 16 and 5.
A lapidary received from a jeweler the commission to work on a precious stone whose shape is that of a pyramid, as illustrated in Figure 1. To do so, the lapidary will make four cuts of equal formats at the corners of the base. The removed corners correspond to small pyramids, at the vertices $P, Q, R$ and $S$, along the dashed segments, illustrated in Figure 2.
After making the cuts, the lapidary obtained, from the larger stone, a polyhedral jewel whose numbers of faces, edges and vertices are, respectively, equal to
(A) 9, 20 and 13.
(B) 9, 24 and 13.
(C) 7, 15 and 12.
(D) 10, 16 and 5.
(E) 11, 16 and 5.