1. Chapter 10 Surface Area & Volume

2. Section 10 – 1 Space Figures & Nets
Objective:
To recognize nets of space figures

3. Polyhedron: Face: Edge: Vertex:
A three-dimensional figure whose surfaces are polygons
Face:
Each polygon surface
Edge:
A segment formed by the intersection of two faces
Vertex:
A point where three or more edges intersect

4. Net: Cube Rectangular Prism Triangular Prism Cylinder Cone Pyramid
A two-dimensional pattern that you can fold to form a three-dimensional figure
Cube
Rectangular Prism
Triangular Prism
Cylinder
Cone
Pyramid

5. Example 1 Identifying Nets
Is the pattern a net for a cube? If so, name the letters that will appear on opposite faces. A)

6. B) C) D)

7. Example 2 Drawing a Net
A) Draw a net for the graham cracker box. Label the net with its dimensions

8. Draw a net.
C) Draw a net

9. Euler’s Formula:
The number of faces (F), vertices (V), and edges (E) of a polyhedron are related by the formula F + V = E + 2.

10. Example 3 Using Euler’s Formula
A) Count the number of faces and edges. Then use Euler’s Formula to find the number of vertices in the polyhedron at the right.

11. B) Use Euler’s Formula to find the number of edges on a polyhedron with 8 triangular faces.

12. C) Use Euler’s Formula to find the number of edges of a polyhedron with 6 faces and 8 vertices.

13. HOMEWORK
Textbook Page 514; #1 – 18