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Q:

# How many vertices does a triangular prism have?

A:

A triangular prism has six vertices. In order to calculate the number of vertices on any type of prism, take the number of corners on one side and multiply by two. For example, a rectangular prism has eight vertices, or two sets of four.

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Some other characteristics of a triangular prism are that they have five faces and nine edges. For comparison, a rectangular prism has six faces and 12 edges. Mathematicians have derived Euler's formula for these and similar shapes. It states that for a polyhedron the number of faces plus the number of vertices minus the number of edges is always two. For a triangular prism, this formula holds true: (5 + 6 - 9 = 2).

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## Related Questions

• A:

A pentagonal prism has 15 edges and 10 vertices. It also has seven faces: two pentagons, which form its bases, and five rectangles for the sides.

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An octagonal prism has two octagon faces on either side, connected with eight rectangular faces for a total of 10 faces. An octagonal prism is the three-dimensional projection of a two-dimensional octagon, an eight-sided polygon.

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A triangular prism has five faces, six vertices and nine edges. The face is the flat side of a solid figure, and it is typically in the form of a plane figure such as a rectangle, square or triangle, with the triangular prism having two triangular bases and three rectangular sides. Another type of prism is the rectangular prism, which has six rectangular faces, 12 vertices and eight edges.