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Space Figures & Nets, Surface Areas of Prisms & Cylinders Unit 5, Lesson 1 https://teacher.ocps.net/michelle.berggren/chs/.../ chapter%20ten.ppt Slide 2 Vocabulary Polyhedron a 3D figure whose surfaces are polygons Face the polygons in a polyhedron Edge a segment that is formed by the intersection of two faces Vertex the point where three or more edges intersect Faces Edge Vertex Slide 3 Vocabulary Net a 2D pattern that you can fold to form a 3D figure Cube a polyhedron with six faces, each of which is a square Slide 4 Slide 5 Slide 6 Slide 7 Slide 8 Slide 9 Leonhard Euler (1707-1783) Eulers Formula The numbers of faces (F), Vertices (V), and edges (E) of a Polyhedron are related by the formula: F + V = E + 2 Example Find the number of edges on a solid with 6 faces and 8 vertices. 12 Edges Slide 10 A polyhedron with 12 vertices and 30 edges has how many faces? Practice Use Eulers Formula to Solve F + V = E + 2