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E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_07
               \ 01-Oct-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________





              Solids are not flat like plane figures. They are 3-dimensional shapes/figures. Solid shapes
              have length, breadth (or width) and depth (or height). A solid occupies a fixed amount of

              space. Let us learn some terms used to understand solid shapes before we study them
              in detail.

              plane and curved surface


              The part of an object we can see, touch and feel is known as the surface. The surface can
              be plane (or flat) or curved.

                 Some objects have only             Some objects have only             Some objects have both
                   plane or flat surfaces.               curved surfaces.            plane and curved surfaces.








              Faces, edges and Vertices of a solid


              Face: The surface of a solid shape is called its face. It can be plane or curved.

              Edge: The line where two faces meet is called an edge. It can be straight or curved.
                                                                                                                  Vertex
              Vertex: The point at which the edges meet is called a corner or vertex.                             Face
                                                                                                                  Edge
               cube                                                cuboid

                    It has 6 square faces (plane).                     It has 6 rectangular faces (plane). The opposite
                    It has 8 vertices or                               faces have the same shape and size.
                                                      Face
                    corners.                                            It has 8 corners.
                                                                                                              Face
                    It has 12 straight edges   Edge                    It has 12 straight edges,
                    of the same size.                      Corner       opposite edges are           Edge   Corner

                    Example: Dice                                       equal.
                                                                        Example: Shoebox
               cylinder                                            cone

                    It has two similar plane faces (its top and       It has one plane face                 Vertex

                    base) and one curved face.                          (its base) and only                   Curved face
                    It has two equal curved edges where the            one curved face.          Plane          Edge
                    curved face meets with              Plane face      It has one vertex.       face

                    its plane faces.                    Curved face      It has one curved edge, where the curved
                    It has no vertex.                  Edge            face meets with its plane face.

                    Example: Cold drink can                             Example: Ice-cream cone




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