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Name ________________________________                Date __________________
Mrs. Labuski / Mrs. Rooney Period _____              Lesson 10-7 Surface Area

VOCABULARY                     DEFINITION                         EXAMPLE

  Surface area




       Net




To find the surface area of the triangular prism below, find the area of each face.




                                            Face C         Face D         Face E
                     Face B
        Face A


A = ½ bh               A = ½ bh         A = lw           A = lw           A = lw
A = _________          A = _______      A = _________ A = ______          A = _______
A = _________          A = _______      A = _________ A = ______          A = _______
                               Continued on next page
Now add all of the areas together:
           Face A = 6 un2
           Face B = 6 un2
           Face C = 24 un2
           Face D = 24 un2
           Face E = 24 un2

Surface Area = __________

Now you try:




Side Area = bh                                  Top Area = bh
Side Area = _________                           Top Area = _________
Side Area = _________                           Top Area = _________
                 x4                                              x2
           ___________                                   ___________


                             Sides __________
                             + top __________
                 Surface area = ____________
Name ________________________________                Date __________________
Mrs. Labuski / Mrs. Rooney Period _____              Lesson 10-7 Surface Area

VOCABULARY                     DEFINITION                         EXAMPLE
                   The surface area of a solid
  Surface area      figure is the sum of the                      See below
                      areas of its surfaces

                    A net is the pattern made
                      when the surface of a
       Net             solid is laid out flat
                    showing each face of the
                              figure.

To find the surface area of the triangular prism below, find the area of each face.




                                            Face C         Face D         Face E
                     Face B
        Face A


A = ½ bh               A = ½ bh         A = lw           A = lw           A = lw
A=½x3x4                A=½x3x4          A=6x4            A=6x4            A=6x4
A = 6 un2              A = 6 un2        A = 24 un2       A= 24 un2        A = 24 un2
                               Continued on next page
Now add all of the areas together:
           Face A = 6 un2
           Face B = 6 un2
           Face C = 24 un2
           Face D = 24 un2
           Face E = 24 un2

Surface Area = 86 un2

Now you try:




Side Area = bh                                   Top Area = bh
Side Area = 10 x 8                          Top Area = 8 x 8
Side Area = 80                              Top Area = 64
               x4                                      x2
           320ft2                                     128ft2


                             Sides 320ft2
                             + top 128ft2
                 Surface area = 448ft2
4




A = lw                A = ½ bh         A=
6x6              A=½x6x5
A = 36 un2            A = 15 un2
                              x4
                      A = 60 un2
            Sides = 60
           +Base = 36
      Surface area = 96 un2




             6




A = lw
A = 10 x 10
A = 100 un2
      x6
SA = 600 un2
4




                 A = lw                A = ½ bh
                 A=6x6                 A = ½ x 6 x 16
                 A = 36 un2            A = 48 un2
                                             x4
                                       A = 192 un2
                             Sides = 192
                            +Base = 36
                       Surface area = 228 un2




front & back    2                sides    2                     2
               2.4cm                     2.4cm        top &    1.8cm
                                                      bottom
                                                   4.5cm
  4.5cm                         1.8cm
                                                                          21.6
   A = lw                     A = lw             A = lw                    8.64
   A = 4.5 x 2.4              A = 1.8 x 2.4      A = 4.5 x 1.8          + 16.2
   A = 10.8 cm2               A = 4.32 cm2       A = 8.1 cm2           46.44cm2
        x2                         x2                 x2
   A = 21.6 cm2               A = 8.64 cm2       A = 16.2 cm2

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Lesson 10 7 surface area

  • 1. Name ________________________________ Date __________________ Mrs. Labuski / Mrs. Rooney Period _____ Lesson 10-7 Surface Area VOCABULARY DEFINITION EXAMPLE Surface area Net To find the surface area of the triangular prism below, find the area of each face. Face C Face D Face E Face B Face A A = ½ bh A = ½ bh A = lw A = lw A = lw A = _________ A = _______ A = _________ A = ______ A = _______ A = _________ A = _______ A = _________ A = ______ A = _______ Continued on next page
  • 2. Now add all of the areas together: Face A = 6 un2 Face B = 6 un2 Face C = 24 un2 Face D = 24 un2 Face E = 24 un2 Surface Area = __________ Now you try: Side Area = bh Top Area = bh Side Area = _________ Top Area = _________ Side Area = _________ Top Area = _________ x4 x2 ___________ ___________ Sides __________ + top __________ Surface area = ____________
  • 3.
  • 4.
  • 5. Name ________________________________ Date __________________ Mrs. Labuski / Mrs. Rooney Period _____ Lesson 10-7 Surface Area VOCABULARY DEFINITION EXAMPLE The surface area of a solid Surface area figure is the sum of the See below areas of its surfaces A net is the pattern made when the surface of a Net solid is laid out flat showing each face of the figure. To find the surface area of the triangular prism below, find the area of each face. Face C Face D Face E Face B Face A A = ½ bh A = ½ bh A = lw A = lw A = lw A=½x3x4 A=½x3x4 A=6x4 A=6x4 A=6x4 A = 6 un2 A = 6 un2 A = 24 un2 A= 24 un2 A = 24 un2 Continued on next page
  • 6. Now add all of the areas together: Face A = 6 un2 Face B = 6 un2 Face C = 24 un2 Face D = 24 un2 Face E = 24 un2 Surface Area = 86 un2 Now you try: Side Area = bh Top Area = bh Side Area = 10 x 8 Top Area = 8 x 8 Side Area = 80 Top Area = 64 x4 x2 320ft2 128ft2 Sides 320ft2 + top 128ft2 Surface area = 448ft2
  • 7. 4 A = lw A = ½ bh A= 6x6 A=½x6x5 A = 36 un2 A = 15 un2 x4 A = 60 un2 Sides = 60 +Base = 36 Surface area = 96 un2 6 A = lw A = 10 x 10 A = 100 un2 x6 SA = 600 un2
  • 8. 4 A = lw A = ½ bh A=6x6 A = ½ x 6 x 16 A = 36 un2 A = 48 un2 x4 A = 192 un2 Sides = 192 +Base = 36 Surface area = 228 un2 front & back 2 sides 2 2 2.4cm 2.4cm top & 1.8cm bottom 4.5cm 4.5cm 1.8cm 21.6 A = lw A = lw A = lw 8.64 A = 4.5 x 2.4 A = 1.8 x 2.4 A = 4.5 x 1.8 + 16.2 A = 10.8 cm2 A = 4.32 cm2 A = 8.1 cm2 46.44cm2 x2 x2 x2 A = 21.6 cm2 A = 8.64 cm2 A = 16.2 cm2