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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_07\Chap_07
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                        Look at the objects in the picture carefully and name them using the clues for
                        solid shapes given below:
                           1.  A solid with 1 curved face, 1 flat face and 1 corner is a __________ .

                          2.  A solid with 2 flat faces, one curved face and 2 edges is a __________ .
                          3.  A solid with 12 edges and equal opposite faces is a __________ .
                          4.  A solid with 1 face and no corners is a __________ .

                          5.  A solid with 8 corners and 6 equal faces is a __________ .
                          6.  A solid with 1 flat face, 1 curved face and no corner is a __________ .

                    Solid ShApeS

                    We know that a cube, cuboid, sphere, cylinder, cone, etc. are solids. Solids are called
                    3-dimensional (3D) shapes as these have length, width and height (depth).
                    The surface of a solid shape is called a face. The line where two faces meet is called
                    an edge. The point where three edges meet is called a corner or vertex.

                    Now, we will explore some solids.

                                   Cube                             Cuboid                             Sphere
                                          Vertex                              Vertex                          Face
                                          Edge                                Edge
                                          Face                                Face

                     6 faces, 12 edges, 8 vertices      6 faces, 12 edges, 8 vertices     1  face (curved)
                     All the faces of a cube are        All the faces of a cuboid are     A sphere has no vertex and no
                     squares of the same size.          rectangles. Only opposite faces
                                                        are equal.                        edge.
                               hemisphere                           Cylinder                            Cone

                          Edge       Face                                                       Edge           Place
                                                                      Place Face                               Face
                                                                       Curved                                Curved
                                                                       Face                                  Face
                                   Curved Face                          Edge                                Vertex
                      2 faces (1 curved and 1 plane)     3 faces (2 plane and 1 curved)    2 faces (1 curved and 1 plane),
                                and 1 edge                        and 2 edges                     1 edge and 1 vertex

                    Combination of Blocks

                    example. How many cubes are there in each of these cube towers?

                                 a.                                           b.

                    Solution.  a.  There are 27 cubes.                        b.  There are 33 cubes.

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     Mathematics 4                                                                                  Geometry

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