Page 190 - Math Skill - 5
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188                                                                                                  Maths

              (b)  36, 45, 55, 66, 78, ______, ______, ______.

              (c)  49, 64, 81, ______, ______, ______.
          2. Find the square numbers lying between 75 and 225.

          3. Find the square numbers just before and after 1849.                            [Hint: 43 × 43 = 1849]
          4. Create a triangular pattern with the following.

              (a)  15                                        (b)  45

        Nets of Solid Figures

        In previous class, we have already learnt to make 4-faced, 5-faced and 6-faced cubes. Here
        we will make the nets of a cube, a cuboid, a cylinder and a cone. Remember a net is a 2D
        representation of 3D figures.

        Net of a Cube

        Take a cubical box and cut it from its edges to obtain a flat shape.                     1
        You will get the net of a cube. It may look like this.                            2  3   4   5
        It has 6 square faces that can be joined in 11 different ways to get a                   6
        cube. (Try it yourself.)

                                                Net of a Cuboid
                                   4
                            1      2      3     Take an empty pack of tea leaves or any other cuboidal box.
                                                Cut it along its edges to obtain a net of a cuboid. It has 6
                                   5
                                                rectangles.
                                   6
                                                Here, rectangle 1 and 3 are of equal size, 2 and 6 are of equal
                                                size and 4 and 5 are of equal size.
        Net of a cylinder                                                               A (D)                Ends

        Take a rectangular piece of paper            A                     D
        and join it edge to edge, i.e., AB                                     Edge
        to DC.
                                                     B                     C             B (C)                 Ends


                           The solid so obtained is a cylinder with two open ends. If we cut two circles of
                           same size as in the base of cylinder, we will get the net of a cylinder.



        So, the following nets of cylinder can be drawn:

         Net of a cylinder with two  Net of a cylinder with one end  Net of  a cylinder with both
         ends open as in pipe.               open.                               the ends closed.
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