Question

How many faces, edges and vertices do a triangular prism has? Verify by Euler's formula.​

Answer 1

Answer:

A triangular prism has 5 faces.

Both the triangles have three vertices each, which are not common. The vertices of the rectangles are covered when we consider the vertices of the triangles.

⇒ A triangular prism has 6 vertices.

Each vertex of a triangle is joined to a vertex of the other triangle by an edge. Each of the vertices of a particular triangle are joined to its two other vertices by an edge each. These edges include all the edges of the rectangles.

⇒ A triangular prism has 9 edges.

This confirms that V−E+F=2.

Answer 2

Answer:

Originally Answered: How many faces edges and vertices does a triangular prism have? We can count: five faces, nine edges, and six vertices. Checking with Euler's rule: , so our answer is correct.

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