How many vertices does a triangular prism have?

Solution:

Given triangular prism

Notice that even when the triangular prism sits on a rectangle, the base is still a triangle.

We know that F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.

A cube, for example, has 6 faces, 8 vertices, and 12 edges and satisfies this formula.

Two of its faces are triangles; three of its faces are rectangles. It has six vertices and nine edges.

There are 5 faces and 9 edges for the triangular prism

Therefore, putting the values in Euler's formula, we get

5+V = 9+2

5+V= 11

V= 11-5

V=6

Therefore, the number of vertices are 6.

How many vertices does a triangular prism have?

Summary:

A triangular prism has 6 vertices.