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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 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 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 Euler’s 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. 6 8 E 2 14 E 2 12 E Leonhard Euler (1707-1783) 12 Edges Practice F+V=E+2 Use Euler’s Formula to Solve A polyhedron with 12 vertices and 30 edges has how many faces? F 12 30 2 F 12 32 F 20