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12.1: Surface Area of Prisms

12.1: Surface Area of Prisms. What is a prism?. Def : A prism is a solid with flat faces and 2 “bases”. We name the prism based on the shape of the bases. Triangular Prism ( Triangle base). D. A. E. F. B. C. △ABC, △DEF are the bases. ▭ACFD,▭BCFE,▭ABED are the faces. are the edges.

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12.1: Surface Area of Prisms

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  1. 12.1: Surface Area of Prisms

  2. What is a prism? • Def: A prism is a solid with flat faces and 2 “bases”. • We name the prism based on the shape of the bases.

  3. Triangular Prism ( Triangle base) D A E F B C △ABC, △DEF are the bases ▭ACFD,▭BCFE,▭ABED are the faces are the edges

  4. Rectangular prism (Rectangular “bases”) F E A B G H C D Which rectangles are the bases? Which rectangles are the faces?

  5. Calculating Areas • Lateral Area (L.A.) = area of faces added up • The faces are always rectangles! • Total Surface Area (T.A. or S.A.) = area of faces and bases • This can be called total area or surface area as well.

  6. Example 1 • Find the lateral area and surface area. Leave all answers exact unless otherwise specified. 7 6 8

  7. Example 2 • Find the lateral area and surface area. Leave all answers exact unless otherwise specified. 8 13 10

  8. Example 3 • Find the lateral area and surface area. Leave all answers exact unless otherwise specified. 5 8

  9. Example 4 • A regular hexagonal prism has an edge measuring 4 and the side of the base measures 10. Find the lateral area and surface area.

  10. Example 5 • Find the total area. Leave all answers exact unless otherwise specified. 6 4 8

  11. Example 6 • Find the total area. Leave all answers exact unless otherwise specified. 4

  12. Homework p. 563 1-7

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