Page 215 - Maths Skills - 7
P. 215

Visualising Solid Shapes                                                                               213

        Let us summarise in a tabular form.

                    Name of Solid                   No. of Faces          No. of Vertices         No. of Edges



                             Cube                         6                      8                      12





                             Cuboid                       6                      8                      12





                                                          3
                           Cylinder                                            None                     2
                                                   [2 flat, 1 curved]





                             Sphere                   1 curved                 None                   None





                                                          2
                             Cone                                                1                      1
                                                   [1 flat, 1 curved]




                                Prism                     5
                                                    [2 triangular,               6                      9
                                                    3 rectangular]




                                                          5
                              Square                [4 triangular,               5                      8
                             Pyramid                  1 square]








                            Triangular               4 triangular                4                      6
                             Pyramid






        EULER'S FORMULA
        Euler gave a distinct formula for all the solids called Euler's formula
               V + F – E = 2

        Where V represents the number of vertices, F the number of faces and E the number of edges of a given solid.
        Try to verify it for all the solid shapes given in the above table.
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