Subjects geometry

Square Pyramid 7800C1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks for the number of edges, faces, and vertices of a solid formed by folding a net of a square pyramid. 2. A square pyramid has a square base and 4 triangular faces meeting at a point (the apex). 3. The formula for a square pyramid is: - Faces ($F$): 1 square base + 4 triangular sides = 5 - Edges ($E$): 4 edges of the square base + 4 edges from base vertices to apex = 8 - Vertices ($V$): 4 base vertices + 1 apex = 5 4. To verify, use Euler's formula for polyhedra: $$V - E + F = 2$$ Substitute values: $$5 - 8 + 5 = 2$$ $$2 = 2$$ This confirms the counts are correct. 5. Therefore, the model has 8 edges, 5 faces, and 5 vertices.