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.
Square Pyramid 7800C1
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