1. Solids: Three – Dimensional figures EQ: How do you identify various three-dimensional figures?

2. What are three-dimensional figures? A three- dimensional figure encloses a part of space. In other words it can hold something (water, air, etc.)

3. What is a Polyhedron? A 3-dimensional figure that has polygons as faces Polygons must have straight lines! PolyhedronsNot Polyhedrons

4. Features of a 3-D figure Faces Edge Vertex Edge- formed by two faces of a 3-D figure sharing a side Vertex ( plural:vertices )- the point at which three or more edges meet Face- the flat surface of a figure

5. Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. 5 faces8 edges5 vertices7 faces15 edges10 vertices Faces + Vertices -2 = Edges

6. Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. 6 faces12 edges8 vertices5 faces9 edges6 vertices

7. Two main types of 3-D Figures Prism: –Has at least three faces that are rectangles –Has two congruent faces on the top and bottom called bases –The shape of the base tells what type of prism the figure is Pyramid: –Has at least three faces that are triangles –Has only one base –The shape of the base tells what type of pyramid the figure is

8. Prisms Rectangular Prism Pentagonal Prism

9. Pyramids Square Pyramid Triangular Pyramid

10. Other 3-D Figures Cone- is a figure like a pyramid, but has a circular base and a curved surface

11. Other 3-D Figures Cylinder- a curved figure with two circular bases

12. Other 3-D Figures Sphere- a 3-D figure with no faces, bases, edges, or vertices

13. Cylinder

14. Triangular Prism

15. Cube

16. Square Pyramid

17. Okay…this last one is hard…Ready??

18. Pentagonal Pyramid

19. What is a net? A net is a two-dimensional (flat) representation of a three- dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. 2.

20. ANSWERS A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. Triangular Pyramid 2. Cube

21. Nets Identify what shape will be made from the following nets. A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. 2. 3. 4.

22. ANSWERS A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. 2. 3. 3. 4. cylinder square pyramid cone triangular prism

23. Identify what shape will be made from the following nets. 1. 2. 3.

24. Identify what shape will be made from the following nets. 1. 2. 3. rectangular prism cylinder triangular prism

25. Cube or Not? http://illuminations.nctm.org/Activity.aspx ?id=3544

26. Summary How are 3D shapes classified? What is a net?