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Lesson 11-1 Pages 556-561

Lesson 11-1 Pages 556-561. Three-Dimensional Figures. What you will learn!. How to identify three-dimensional figures. How to identify diagonal and skew lines. Vocabulary. What you really need to know!. A prism is a polyhedron with two parallel bases.

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Lesson 11-1 Pages 556-561

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  1. Lesson 11-1Pages 556-561 Three-Dimensional Figures

  2. What you will learn! • How to identify three-dimensional figures. • How to identify diagonal and skew lines.

  3. Vocabulary

  4. What you really need to know! A prism is a polyhedron with two parallel bases. A pyramid is a polyhedron with one base.

  5. What you really need to know! Prisms and pyramids are named by the shape of their bases, such as triangular or rectangular.

  6. What you really need to know! Skew lines are lines that lie in different planes and do not intersect.

  7. What you really need to know! A diagonal of a figure joins two vertices that have no faces in common.

  8. Formulas for Chapter 11: Volume of a Prism: V = Bh ; where B is the area of the Base Volume of a Cylinder: V = Bh or V = r2h ; where B = r2 Volume of a Pyramid: V = 1/3(Bh) ; where B is the area of the Base Volume of a Cone: V = 1/3(Bh) or V = 1/3(r2h) ; where B = r2 Surface Area of Rectangular Prisms: S = 2lw + 2lh + 2wh Surface Area of a Pyramid:S = Area of lateral faces + Area of Base Surface Area of Cylinders: S = 2r2 + 2rh Surface Area of Cones: S = rl + r2

  9. Example 1: Identify the solid. Name the bases, faces, edges, and vertices.

  10. G H K J P N L M This is the figure when it is unfolded!

  11. Name: Rectangular Prism

  12. Bases: LMNP, GHJK, KJNP, GHML, GKPL, HJNM

  13. Faces: LMNP, GHJK, KJNP, GHML, GKPL, HJNM

  14. Edges: GH, HJ, JK, GK, HM, MN, JN, NP, KP, LP, GL, LM

  15. Vertices: G, H, J, K, L, M, N, P

  16. Example 2: Identify the solid. Name the bases, faces, edges, and vertices.

  17. G D F E

  18. Name: Triangular Pyramid

  19. Base: DEF, EFG, DFG, DEG

  20. Faces: DEF, EFG, DFG, DEG

  21. Edges: DE, DF, DG, EF, EG, FG

  22. Vertices: D, E, F, G

  23. Example 3: Identify a diagonal and name all segments that are skew to it.

  24. Example 4: Find the area of the ground floor if each unit on the drawing represents 55 feet.

  25. A = 5 units x 6 units A = 5(55ft) x 6(55ft) A = 90,750 ft2

  26. Example 5: How many floors are in the office building if each floor is 12 feet high? Assume each unit on the drawing represents 40 feet.

  27. 3 x 40 = 120 feet high 120 ÷ 12 = 10 floors

  28. Page 559 Guided Practice #’s 3-8

  29. Read: Pages 556-558 with someone at home and study examples!

  30. Homework: Pages 559-561 #’s 9-17, 22-25, 28-29 #’s 30, 31, 35-44 Lesson Check 11-1

  31. Page 750 Lesson 11-1

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