1. Introduction to 3D Solids and 11.1

2. Solids of Revolution Some 3D shapes can be formed by revolving a 2D shape around a line (called the axis of revolution).

3. Solids of Revolution What do you think this will make if we revolve it around the line?

4. Solids of Revolution Draw a 2D figure and axis of revolution that would produce the given 3D figure:

5. 3D Graphing

6. 3D Figures/Solids 3D figures can be made up of flat or curved surfaces. Each flat surface is called a face. The segment formed where two faces intersect is called an edge. The point formed where three or more edges intersect is called a vertex.

7. Types of 3D Figures 1. Prism TWO parallel and congruent faces (the bases) bases are connected by sides (lateral faces) that are any polygon.

8. Prisms are named by the shape of their bases.

9. base edges : _______________________________ vertices: _______________________________

11. 2. Cylinder bases are circles curved surface that connects the bases Types of 3D Figures

12. 3. Pyramid ONE base that is a polygon lateral faces are triangles

13. Pyramids are also named by the shape of their base.

14. Regular Pyramid base edges : _______________________________

15. Types of 3D Figures 4. Cone ONE circular base curved surface that connects the base to the vertex

16. Nets A net is a diagram of a flat surface that will fold up into a 3D figure.

17. Cross Sections A cross section is the shape that results from slicing through a 3D figure with a plane.