इंपॉर्टेंट प्लेसेस ऑफ 5 एंड इट्स नॉट फाइंड द टोटल वोटर इन पॉलीहाइड्रों
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Answer:
Polyhedrons
A polyhedron is a 3-dimensional figure that is formed by polygons that enclose a region in space. Each polygon in a polyhedron is a face. The line segment where two faces intersect is an edge. The point of intersection of two edges is a vertex.
Examples of polyhedrons include a cube, prism, or pyramid. Cones, spheres, and cylinders are not polyhedrons because they have surfaces that are not polygons. The following are more examples of polyhedrons:
The number of faces (F), vertices (V) and edges (E) are related in the same way for any polyhedron. Their relationship was discovered by the Swiss mathematician Leonhard Euler, and is called Euler’s Theorem.
Euler’s Theorem: F+V=E+2.
Faces+Vertices5+6=Edges+2=9+2
A regular polyhedron is a polyhedron where all the faces are congruent regular polygons. There are only five regular polyhedra, called the Platonic solids.
Regular Tetrahedron: A 4-faced polyhedron and all the faces are equilateral triangles.
Cube: A 6-faced polyhedron and all the faces are squares.
Regular Octahedron: An 8-faced polyhedron and all the faces are equilateral triangles.
Regular Dodecahedron: A 12-faced polyhedron and all the faces are regular pentagons.
Regular Icosahedron: A 20-faced polyhedron and all the faces are equilateral triangles.
What if you were given a solid three-dimensional figure, like a carton of ice cream? How could you determine how the faces, vertices, and edges of that figure are related?
Explanation: