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    E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_07
                 \ 02-Nov-2023                      Sonia Suyal   Proof-1                     Reader’s Sign _______________________ Date __________

                   Sphere                                              hemisphere

                        It does not have any edge or vertex.               When a sphere is cut into halves, each part
                                                                            is a hemisphere.
                        It has a curved face.                              It has two faces (one plane   Edge  Plane face

                        Example: Football.                                 and other curved).

                                                                            It has one curved edge.             Curved face
                                                                            Example: Bowl.

                  difference between a cube and a cuboid

                        In a cuboid, the opposite rectangular faces are of the same shape and size, whereas
                       in a cube, all square faces are of the same shape and size.

                        In a cube, all the edges are equal, whereas in a cuboid, the edges can be of different sizes.

                           Quick Check
                        Identify the solid shapes that you see in each of the following objects:

                         1.                      2.                      3.                      4.

                         _______________         _______________         _______________         _______________

                  line drawinGS oF 3d oBjectS

                  We can draw 3D shapes like cubes, and cuboids, on a dotted sheet. There are two different
                  sheets – square dot sheet and isometric dot sheet. An isometric sheet is a special paper
                  with dots at equal distance, which help us to draw 3D shapes.

                  Let us draw a cube on a square dot sheet.

                      Draw a square on the sheet.      Draw another square as shown.             Join the corners.

                   teacher’s   Tell the students about the difference between 2D and 3D shapes with the help of different kinds of 2D or 3D
                      tip      shaped objects. Encourage them to draw a cuboid on a square dot sheet using rectangles. Hence, explain how
                               to draw a cube and a cuboid with proportional lengths on an isometric sheet.

                  Mathematics-3                                                                                         123

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