A regular polyhedron has 12 edges and 6 vertices.
a) Use Euler’s equation to find the number of faces.
b) Use the result from part (a) to name the regular polyhedron.
The number of faces using Euler’s equation.
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.
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.
The name of regular polygon
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