Q:

# How many vertices does a pyramid have?

A:

A triangular pyramid has four vertices. A square pyramid has five vertices. Other pyramids have a greater number of vertices depending on the shape of the base.

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Credit: zolakoma CC-BY 2.0

In geometry, a vertex is defined as an angular point of a polygon or a polyhedron. In two dimensions, this means a point where two lines meet, such as the points of a triangle. In three dimension, it means the point where three lines meet, such as the corner of a cube. While the most common pyramids have triangular or square bases, a pyramid can be constructed using any convex, simple polygon as a base, such as pentagons or hexagons. In all cases, the total number of vertices is equal to the number of vertices, or corners, the base has plus one more for the point at the top where all the faces meet.

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## Related Questions

• A:

A square-based pyramid has five vertices. The vertices are the corner points formed by the intersection of three edges. For a square-based pyramid, there are four vertices at the bottom, and one at the apex.

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• A:

A triangular pyramid has four vertices and six edges. It is comprised of four equilateral triangles, with any one triangle being used as the base and the others connecting at the vertices to form a pyramid.

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• A:

A rectangular pyramid is a pyramid that has a rectangle as the base and the rest of the faces are composed of triangles. A pyramid is named based on the shape of the base of the pyramid.