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               \ 15-Nov-2024                      Surender Prajapati   Proof-6             Reader’s Sign _______________________ Date __________






                      (d)                  Cylinder                    (iv)



                      (e)               Square Pyramid                  (v)





                      (f)                 Tetrahedron                  (vi)




                  3.  With the help of given figure of cube, answer the following questions.                  H
                    (a)  Which edge is the intersection of faces EFGH and EFBA?                                        G
                    (b)  Which faces intersect at edge FB?                                                E          F
                    (c)  Which three faces form the vertex A?                                                          C
                    (d)  Which vertex is formed by the faces ABCD, ADHE and CDHG?                         A    D    B
                    (e)  Write all the edges that are parallel to edge AB.
                     (f)  Give all the edges that are perpendicular to edge AB.
                  4.  Since the opposite faces of a die always have
                     a total of seven dots on them. Here are three                  1                             1   2
                     nets to make dice; the numbers inserted in each    2   3                    4   5            3
                     square indicate the number of dots in that box.
                                                                                                     6
                     Fill in the suitable numbers in the blanks,
                     remembering that the number on the opposite faces should have a total 7.
                  5.  A cube has 6 faces. But the given figure shows the incomplete net of a cube.
                     Complete it in two different ways.
                  6.  Draw a net of a cuboid having same breadth and height, but length double the breadth.

                Drawing Solids on a Flat Surface

                When we see the pictures of some 3D objects like moving cars, walking lions, running tigers, or a
                sketch of a buildings on a paper, then we have visual illusion and due to this on a 2-dimensional
                plane, they appear to be three-dimensional. Here, we will learn how to draw solids on a flat surface.
                There are two methods that help us to draw a 3D object on a 2D surface like paper.
                 (1)  Oblique sketch          (2)  Isometric sketch

                Oblique Sketches

                An oblique sketch is drawn on squared (lines or dots) paper. It gives a clear idea of how the solid
                object looks like when seen from the front. Let us draw an oblique sketch for a cube of 3 units.
                 Step 1: Draw the front face by making a             Step 2: Draw the opposite face. The sizes of
                 square of 3 units.                                  the faces have to be same, but the sketch is
                                                                     somewhat off-set from step 1.










                                                                  265                                Visualising Solid Shapes
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