1. 11-1 Exploring 3D figures I. Polyhedra – solids with all flat surfaces that are not open

2. SPHERE CYLINDER CONE PYRAMID CUBE PRISM

3. II. Prisms A polyhedron with two congruent faces that are polygons contained in parallel lines

4. Parts of a prism FACE Faces — The flat surfaces of a solid object.

5. EDGE Edges — the line segments where the faces intersect

6. BASE The two congruent faces of a prism

7. LATERAL FACE The other faces of the prism which connect the two bases.

8. LATERAL EDGES

9. Platonic Solids

10. III. Regular Polyhedra All of its faces are shaped like congruent regular polygons

11. IV. Slices

12. V. Examples 1. Draw a top, left, front, and right view of this model.

13. 2. Identify the solid. Name its bases, faces, edges, and vertices.

14. 3. Identify the polyhedra. Name its bases, faces, edges, and vertices.

15. 4. Miranda has a piece of foam that is shaped like a cone. She wants to make a decorative centerpiece for a table using the cone. However, she does not want the centerpiece to have a point, but wants the top of the centerpiece to be an oval shape. How should she cut the cone to get an oval top?

16. 11-3 Surface Area Prism and Cylinder I. Prisms Oblique: Tilted at an angle; neither vertical nor horizontal Right: altitude is the height

18. II. Types of right prisms RECTANGULAR HEXAGONAL TRIANGULAR

19. III. RIGHT PRISM PARTS

20. IV. VARIABLES USED FOR PRISMS B- BASE L- LATERAL AREA P- PERIMETER OF BASE H- HEIGHT OF PRISM

21. Lateral Area of a Right Prism LA = P * H V. FORMULAS

22. Surface Area of Right prism SA = P * H + 2 B

23. Examples: 1. Find the L and SA of a right triangular prism with a height of 10 inches and a right triangular base with legs of 10 and 12 inches.

24. VI. Cylinders 2 BASES ARE CIRCLES

25. HEIGHT

26. RADIUS

28. LA = 2  R H

30. Surface area of a cylinder

31. Example 2. Find the Lateral Area and the Surface Area.

32. 11-4 Surface area Pyramids and Cones

33. BASE

34. FACE

35. HEIGHT

36. EDGES

37. SLANT HEIGHT

40. S A = ½ * P * L + B

41. CONE BASE IS A CIRCLE

42. HEIGHT

43. RADIUS

44. SLANT HEIGHT