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                        Quick Check
                      Guess the number of cubes in the following arrangements.







                                     (a)                             (b)                              (c)


                Viewing an Object by Looking at It from Certain Angles to Get Different Views

                A 3-dimensional object or shape look different from different positions (or sides), so they can
                be drawn from different perspectives, this is called visualising a solid shape. One can look at an
                object standing in front of it or by the side of it or from above. Each time, one will get a different
                view. Let us see the different views of a house from different angles.
                                        Top







                      Front                       Side

                                  A house                     Front view            Side view          Top view

                Here is an example that shows how one gets different views of the given building.









                                 Building                Front view              Side view           Top view
                Sometimes when we look at combined shapes, some of them may be hidden from our view.
                Let's take some cubes and arrange them as shown in fig. below.










                Now we guess how many cubes are there when we observe the above fig. from different view
                positions as we marked by the arrows?











                                           (i)                    (ii)                  (iii)

                                                                  269                                Visualising Solid Shapes
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