Discussion
A hexagonal pyramid has :
Answer: B
A hexagonal pyramid has 7 vertices, 12 edges and 7 faces.
The base is a hexagon with 6 vertices and 6 edges, and the apex adds 1 vertex joined to each base vertex by 6 slant edges. The faces are the base and 6 triangular sides:
\[ \begin{aligned} V &= 6 + 1 = 7 \\ E &= 6 + 6 = 12 \\ F &= 1 + 6 = 7 \end{aligned} \]
Euler's formula checks it: \(V - E + F = 7 - 12 + 7 = 2\). The other options fail this check or miscount the base (6 faces leaves out the base, 6 vertices leaves out the apex).
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