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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_07
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              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 about the terms used in the understanding of solid shapes before

                  explaining the solid shapes.
                  plane and curved Surface

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

                   Some objects have only the  Some objects have only the  Some objects have both the
                   plane surface.                     curved surface.                    plane and curved surface.

                  Faces, edges and Vertices of a Solid

                  Face: The Surface of a solid shape is called its face. The face of a solid could be plane or curved.

                  edge: The line where two faces meet is called an edge. The edge of a solid could be
                  straight or curved.                                                                                 Vertex
                                                                                                                      Face
                  Vertex: The point where edges meet is called a corner or vertex.                                    Edge

                   cube                                                cuboid

                        It has 6 square faces (plane).                     It has 6 rectangular faces (plane). The opposite

                        It has 8 vertices or                               faces are of the same shape and size.
                        corners.                          Face              It has 8 corners.
                        It has 12 straight edges   Edge                    It has 12 straight edges.            Face
                        of the same size.                                   opposite edges are           Edge
                                                               Corner
                        Example: Dice.                                     equal.                              Corner
                                                                            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.
                        curved face meets with              Plane face      It has one vertex.       Plane          Edge
                                                                                                      face
                        its plane faces.                    Curved face      It has one curved

                        It has no vertex.                  Edge            edge, where the curved face meets with its
                        Example: Cold drink can                            plane face.
                                                                            Example: Ice cream cone.

                 128                                                                                    Mathematics-3

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