### Instruction: A pyramid has 6 vertices and 6 faces. How many edges does it have?### Response: To solve this problem, I will use Euler's formula, which relates the number of vertices, edges, and faces of a polyhedron.
It says that V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.
In this case, I know that V = 6 and F = 6, so I can plug those values into the formula and solve for E.
6 - E + 6 = 2.
Simplifying, I get -E + 12 = 2.
Subtracting 12 from both sides, I get -E = -10.
Dividing both sides by -1, I get E = 10.
Therefore, the pyramid has 10 edges.