1. Space Figures & Nets, Surface Areas of Prisms & Cylinders Unit 5, Lesson 1 https://teacher.ocps.net/michelle.berggren/chs/.../ chapter%20ten.ppt

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

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

9. Leonhard Euler (1707-1783) 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. 12 Edges

10. A polyhedron with 12 vertices and 30 edges has how many faces? Practice Use Euler’s Formula to Solve F + V = E + 2