Page 10 - Math Course 2 (Book 2)
P. 10

Geometric Surface Area: Prisms
           Mo. 7


            Lesson 1                                        lateral area

                                                            The lateral area L is the sum of the areas of the
                                                            lateral faces.

          KEY CONCEPTS:
          1. Find lateral areas of prisms.
          2. Find surface area of prisms.                         a         b      c      d      e       f






                                                               h
          MO. 7 - L1a

             Prisms: Finding the Lateral

                   and Surface Areas


                     Vocabulary A-Z                         L  = ah + bh + ch + dh + eh + fh

                     Let us learn some vocabulary               = h(a + b + c + d + e + f )
                                                                =Ph


                                                             Key Concept

                           base
          lateral edge
                                                             Lateral Area of a Prism

                                         lateral face
                                                            If a right prism has a lateral area of L square units,
                                                            a height of h units, and each base has a perimeter
          altitude                                          of P units, then L = Ph.
                                         base                                  P

                                                                                           h
         lateral faces
         The rectangular faces that are not bases are called
         lateral faces.

         lateral edges
         The lateral faces intersect at the lateral edges.
         Lateral edges are parallel segments.                Surface Area of a Prism

         right prism                                        If the surface area of a right prism is T square
         A prism with lateral edges that are also altitudes is   units, is lateral area is L square units, and each
         called a right prism.                              base has an area of B square units, then T = L + 2B






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