1. **Problem Statement:** Complete the table for a square pyramid with the number of faces (F), vertices (V), edges (E), and the sum F + V. 2. **Recall Euler's Formula for Polyhedrons:** $$F + V = E + 2$$ This formula relates the number of faces, vertices, and edges of any convex polyhedron. 3. **Identify the properties of a square pyramid:** - Faces (F): A square pyramid has 1 square base and 4 triangular faces, so $$F = 5$$. - Vertices (V): The square base has 4 vertices, plus 1 apex vertex, so $$V = 5$$. 4. **Calculate F + V:** $$F + V = 5 + 5 = 10$$ 5. **Use Euler's formula to find edges (E):** $$F + V = E + 2$$ $$10 = E + 2$$ $$E = 10 - 2 = 8$$ 6. **Final table values:** - Faces (F): 5 - Vertices (V): 5 - F + V: 10 - Edges (E): 8 **Answer:** | Polyhedron | Faces (F) | Vertices (V) | F + V | Edges (E) | |---------------|-----------|--------------|-------|-----------| | Square Pyramid| 5 | 5 | 10 | 8 |