A hexagonal prism has 8 sides, 12 vertices, and 18 edges.
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A hexagonal pyramid has a hexagon base and six triangular sides. This gives it 7 faces and 12 edges. It also has 7 vertices.
A hexagonal prism is a prism composed of two hexagonal bases and six rectangular sides.
Oh, isn't that a happy little question! Let's think about it together. A prism has 2 bases and the same number of edges as the number of sides on those bases, plus the number of edges connecting the corresponding vertices on the bases. So, a prism can't have seven more edges than vertices because the number of edges is determined by the number of sides on the bases and the number of vertices.
A cube or a cuboid has 6 sides or faces, 12 edges and 8 vertices
There are 6 sides on a rectangular prism. More properly it has 12 edges, 8 vertices and 6 faces.