Page 357 - Math Smart - 7
P. 357

Find the total surface area of this cuboid.

       Hint Note the number of faces the cuboid has.
                                                                 10 cm
                                                  3 cm
       Solution
                                                        4 cm

                                                   3 cm



                                                                                                        10 cm
                                                10 cm                      10 cm
          3 cm                                                                           3 cm  I
                4 cm                                              4 cm                         4 cm

        Area of one blue          Area of one red            Area of one green         Total surface area
        rectangle face            rectangle face             rectangle face            = 24 + 60 + 80
        = 3x4                     = 3 X 10                   = 4 X 10                  = 164 cm^
        = 12 cm^                  = 30 cm^                   = 40 cm^
        Area of two blue faces    Area of two red faces      Area of two green faces
        = 12 X 2                  = 30 X 2                   = 40 X 2
        = 24 cm^                  = 60 cm^                   = 80 cm^


        Check My
        Understanding


          O The following are the nets of some solids. Calculate the surface area of each
              solid based on the dimensions given,
               a)                   ■)           b)            6 cm                          30 mm

                                                                                      30 mm
                                                                        3  cm

             10 cm                                                      2  cm



                                    3  cm

                         3  cm




          O  Calculate the surface area of these solids. Start by drawing the net of each solid
              a)       ^              ^         b)    ^                    c)

                                                                                 6 cm


                                      cm
                                                                           4 cm
             2cm |i-  •'
                                                                                        8 cm
                       5  cm                         40 mm
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