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12.2 Prisms & Cylinders                    March 27, 2012




                                Bellwork


    Choose 3 different shapes from the back 
    table.

    Find the # of faces, vertices & edges of each.

    Name each shape.




HW pg. 806 #4­9, 13­15, 18­20                               1
12.2 Prisms & Cylinders                                           March 27, 2012




    12.2 Surface Area
                                                   Bases




                                              Lateral faces



                                                  Lateral edges
    Surface Area:
         the sum of the areas of all surfaces that enclose the solid

    Lateral Area:
         the sum of the areas of all lateral faces


        Prisms:




                perimeter of the base*height of the prism
                                          +
                                  area of the base*2


                                S.A. Prism = Ph + 2b



HW pg. 806 #4­9, 13­15, 18­20                                                      2
12.2 Prisms & Cylinders         March 27, 2012




HW pg. 806 #4­9, 13­15, 18­20                    3
12.2 Prisms & Cylinders                                           March 27, 2012


       Cylinders:
                                                 Cylinder S. A.
                                                 = (2πr﴿h + 2﴾πr2)



               Circumference of the base*height of the cylinder
                                         +
                                2*the area of the base




HW pg. 806 #4­9, 13­15, 18­20                                                      4
12.2 Prisms & Cylinders                             March 27, 2012




      a)                            b)

                                         10
        6                                       12.2

                                8         6.5
                   7                            7




HW pg. 806 #4­9, 13­15, 18­20                                        5
12.2 Prisms & Cylinders             March 27, 2012




      c)               d



                                h



                      D
           D = 15, d = 7, h = 12




HW pg. 806 #4­9, 13­15, 18­20                        6
12.2 Prisms & Cylinders         March 27, 2012




       HW:
         12.2 pg. 806
             #4-9, 13-15, 18-20




HW pg. 806 #4­9, 13­15, 18­20                    7

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12.2 notes

  • 1. 12.2 Prisms & Cylinders March 27, 2012 Bellwork Choose 3 different shapes from the back  table. Find the # of faces, vertices & edges of each. Name each shape. HW pg. 806 #4­9, 13­15, 18­20 1
  • 2. 12.2 Prisms & Cylinders March 27, 2012 12.2 Surface Area Bases Lateral faces Lateral edges Surface Area: the sum of the areas of all surfaces that enclose the solid Lateral Area: the sum of the areas of all lateral faces Prisms: perimeter of the base*height of the prism + area of the base*2 S.A. Prism = Ph + 2b HW pg. 806 #4­9, 13­15, 18­20 2
  • 3. 12.2 Prisms & Cylinders March 27, 2012 HW pg. 806 #4­9, 13­15, 18­20 3
  • 4. 12.2 Prisms & Cylinders March 27, 2012 Cylinders: Cylinder S. A. = (2πr﴿h + 2﴾πr2) Circumference of the base*height of the cylinder + 2*the area of the base HW pg. 806 #4­9, 13­15, 18­20 4
  • 5. 12.2 Prisms & Cylinders March 27, 2012 a) b) 10 6 12.2 8 6.5 7 7 HW pg. 806 #4­9, 13­15, 18­20 5
  • 6. 12.2 Prisms & Cylinders March 27, 2012 c) d h D D = 15, d = 7, h = 12 HW pg. 806 #4­9, 13­15, 18­20 6
  • 7. 12.2 Prisms & Cylinders March 27, 2012 HW: 12.2 pg. 806 #4-9, 13-15, 18-20 HW pg. 806 #4­9, 13­15, 18­20 7