Page 222 - Maths Skills - 7
P. 222

220                                                                                                  Maths














                                                    MIND MAP




                                          Visualising Solid Shapes




                                “Solids are three dimensional objects which have faces, vertices and edges”

                                Face                                                              Face
                                A plane surface enclosed by an edge.
                                Vertex
                                A point where three surfaces meet.

                                Edge                                                                       Edge
                                The intersection of two adjacent surfaces of solid.                  Vertex



           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]
                                                                                   Verification Through
                  Sphere       1 (curved)         None           None              Euler's Formula

                                                                                   V + F –E = 2
                                   2
                 Cone        [1 flat, 1 curved]     1             1                Where, V        No. of vertices
                                                                                           E      No. of edges
                                   5
                             [2 triangular, 3       6             9                        F      No. of faces
                    Prism
                              rectangular]

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



                Triangular    4 (triangular)        4             6
                pyramid
   217   218   219   220   221   222   223   224   225   226   227