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A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A hexagon is a plane (2-dimensional) figure with 1 face, 6 vertices and 6 sides (which may be called edges).
a hexagon has one face and 6 edges a hexagonal pyramid has 7 faces a hexagonal prism has 8 faces
Since each triangular face will have a base at an edge of the hexagon base, there will be 6 triangular faces and 1 hexagon at the base. Each triangle will have an edge at the base that it shares with the hexagon. Each triangle will have two other edges that it shares with the two adjacent triangles. We can thus get the number of edges by counting the number of triangles and then add the number of base edges - 6 + 6 = 12.