Page 120 - Math Course 1 (Book 2)
P. 120

Lateral and Surface Area of Prisms and Cylinders

         Mo. 10

          Lesson 3                                         surface area

                                                           The surface area is the sum of the lateral area plus
                                                           the area of the bases.

          KEY CONCEPTS:
          1. Find lateral area and surface areas of                                    P
              prisms.                                          Area of
          2. Find lateral area and surface areas of           Base(B)
              cylinders.
                                                                                              Lateral
                                                                                               Area
                                                                                            h
         MO. 10 - L3a
                                                               Area of
              Lateral and Surface Area                        Base(B)

                         of Prisms
                                                             Key Concept
                     Vocabulary A-Z

                     Let us learn some vocabulary            Lateral Area and Surface
                                                             Area of A Prism

                                                                       The lateral area L of a prism is the
                                                            Words      perimeter of the base P times the
        net                                                            height h.
        A net is a two-dimensional pattern for a three-
        dimensional f gure.                                 Symbols    L = Ph

                           I                                           The surface area S of a prism is the
                                                                       lateral area L plus the area of the
                          top                               Words
                w                  w                                   bases 2B.
                        (bottom)              l
                                                            Symbols    S = L + 2B or S = Ph + 2B
           h   side       side      side     side   h

                         base        w                                         Model
                   w
                        (bottom)
              A net allows you to sell all the surfaces.         Area of
                                                                 Base (B)               P
        lateral faces
        Faces that are not bases are called lateral faces.
                                                                 Area of                            h
                                                                 Base (B)
                                                                                                  w
        lateral area                                                                 l
        The lateral area is the sum of the areas of the
        lateral faces.                                                                  P
                                                                Area of
                                                               Base(B)
                                               Lateral
                                                Area                                           Lateral
           Area     h                                                                           Area
         of Bases                                                                            h
                                            w
                               l
                                                                Area of
                                                               Base(B)



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