Q:

# How many vertices does a rectangle have?

A:

A two-dimensional rectangle has four vertices, and a three-dimensional rectangle has eight. The differences between the two figures are the number of sides and points of intersection.

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Credit: Tim Samoff CC-BY 2.0

The geometric definition of a vertex is a point in a geometric solid where three or more sides intersect or where two sides intersect in a plane figure. Therefore, a vertex is a corner in a rectangle. There is another definition of a vertex, which is defined as a point farthest from the base. However, a rectangle may have many bases as opposed to a triangle, which has a side that is primarily used for the base.

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## Related Questions

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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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A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.

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A hexagonal prism has 12 vertices, along with eight faces and 18 edges. This shape has two hexagonal sides, as well as size rectangular sides that connect the sides of the hexagons.