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