For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then verify Euler’s equation for that polyhedron.
To find:
The number of faces, vertices and edges in a regular tetrahedron and verify Euler’s equation.
Approach:
A) Polyhedron
1) A polygon is a two dimensional shape form with more than two straight lines.
2) A polyhedron is a three-dimensional solid shape.
3) Each flat surface of a polyhedron is a polygon and is called a face.
4) The line segment where two faces of a polyhedron meet is called an edge.
5) The point where three or more edges of a polyhedron meet is called a vertex.
6) A regular polyhedron is a convex polyhedron whose faces are congruent regular polygons.
7) A regular tetrahedron is a regular polyhedron with four faces. All faces are congruent equilateral triangles.
B) Euler’s Equation
A very important relationship between the number of vertices, faces and edges of solid shapes was discovered by a Swiss mathematician Leonard Euler...
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