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Q: Does a hexagonal prism have the same number of vertices as a hexagon-based pyramid?

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Add one to a hexagons number of vertices

A hexagon is a six sided figure so, a hexagonal base has six triangular sides. Each triangle has three vertices, so such a pyramid has 18 vertices

To find the number of vertices on any pyramid, take the number of corners on the base and add 1 (for the top) A hexagonal based pyramid has 7 vertices (6 for the hexagon, 1 for the top) I suspect you might mean "hexagonal prism" though. In which case, for prisms, you double the number of corners in the 2D shape. A hexagonal prism has 12 vertices (6 for the hexagons at each end.)

It has 12 vertices

The number of vertices does not determine the number of faces. If the shape with 6 vertices was a quadrilateral based bipyramid, it would have 8 faces. A hexagonal based pyramid has 7 vertices and 7 faces. So more vertices does not necessarily imply more faces.

No. A pyramid can have any number of vertices from 4 upwards.

Subtract 1 from the number of vertices. Find the name of the polygon with that many sides. The pyramid has that polygon as its base. So, for example, 7 vertices. Subtract one and that gives 6. A six sided polygon is a hexagon. So the shape is a hexagon based (or hexagonal) pyramid.

If the number of vertices is not the same as the number of faces, it cannot be a pyramid.

Two times the number of vertices in the polygonal base of the pyramid.

yes

13 vertices. A pyramid always has the same number of faces and vertices.

The number of vertices in an octagonal pyramid is 9, irrespective of any graph.

Yes, it has one more vertex than the number of vertices on the polygonal base of the pyramid.

No. A triangular prism has six vertices. A square pyramid has five vertices. A triangular pyramid has four vertices.

The number of vertices on a solid pyramid will depend on its base as for example if it is a triangular based pyramid (tetrahedron) then it will have 4 vertices, 6 edges and 4 faces.

10. For any pyramid, it will be one more than the number of vertices in the base.

7 faces.

There is no simple answer to this question. Polyhedra are named according to the number of faces that they have. A heptahedron is a 3-dimensional shape with 7 faces. It could be in the form of a pyramid with a hexagonal base. In that case, it has 7 vertices. Or it could be in the form of a prism with pentagonal bases and in that case it has 10 vertices. There are many different configurations, and the number of vertices varies. As stated in the answer by Ngc0202, there can be anything from 6 to 10 vertices.

1 + number of sides/vertices the base shape has A square-based pyramid has 5 vertices, for example.

Its shape, the number of faces edges and vertices.

No. The number of vertices can be increased without limit.

11 vertices (one more than the number of vertices in the base).

a pyramid will have the same number of vertices as corners of the base + 1 so a square pyramid is (4 corners on a square) + 1 = 5 vertices

A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 sides, 1 base = 7 faces Save

for any prism , number of ___ + number of vertices = number of edges + ___