Page 170 - Mathematics Coursebook
P. 170

18 Area, perimeter and volume








               !e area of a shape is the amount of space that a shape takes up.     Key words
               Imagine a square piece of land that is exactly 1 km long and exactly

               1 km wide. !e area of this piece of land is 1 square kilometre,     Make sure you learn and
                                                                                   understand these key words:
               which you can write as 1 km  or 1 sq km.
                                          2
                  1 km                                                             area
                                                                                   square kilometre (km )
                                                                                                       2
                                                                                   square millimetre (mm )
                                                                                                        2
                  1 km 2                                                                                2
                   or       1 km                                                   square centimetre (cm )
                                                                                                  2
                 1 sq km                                                           square metre (m )
                                                                                   conversion factor

               !e square kilometre is a very large unit of area. You will          perimeter
               also use much smaller units, when you are measuring smaller         compound shape
                                                                                                      3

               items. !e unit you will use must always be suitable for what        cubic centimetre (cm )
                                                                                                      3
               you are measuring.                                                  cubic millimetre (mm )
                                                                                                 3
                                                                                   cubic metre (m )
                                                                                   volume
               Here are some interesting area facts about places in the world.     surface area
                                                                                   net
                                                The smallest ocean in the world is the Arctic.
                                                It has a total area of just over 15 millon sq km.
                                                                                  The largest country in the world is Russia.
                                                                                  It has a total area of just over 17 million sq km.
                 The largest island in the world is the Greenland.
                 It has a total area of just over 2 million sq km.
                                                                                                              N
                                                                                AR CTIC OCEAN
                                                   GREENLAND
                 The largest                        (Denmaark)
                 freshwater lake in
                 the world is Lake                                             R  U  S  S  I  A
                 Superior in North  CAN AD A
                 America. It has a
                 total area of                                                 KAZAKHSTAN  MONGOLIA
                 82 100 sq km.  UNITED STATES
                                 OF
                                AMERICA                                                 CHIN A
                     NORTH
                    PACIFIC                      NORTH                                INDIA               PACIFIC
                     OCEAN                      ATLANTIC
                                                 OCEAN                                                    OCEAN
                 One of the smallest                              AFRICA
                 island in the world is the                                         INDIAN
                 Grenada. It has a total                                            OCEAN
                 area of just over 344 sq km.
                                            BRAZIL
                                                                                 The largest saltwater
                                                         SOUTH                   lake in the world is the
                                                       ATLANTIC                  Caspian Sea in Asia.  AUSTRALIA
                               SOUTH                     OCEAN                   It has a total area of
                               PACIFIC      ARGENTINA                            371 000 sq km.
                               OCEAN
                                                 The smallest country in the world is the Vatican City.
                                                 It has a total area of 0.44 sq km.

                The largest ocean in the world is the Pacific.
                It has a total area of over 155 million sq km.
               In this unit you will learn how to work out the area and perimeter of squares and rectangles. You will
               also learn how to work out the surface area and volume of cubes and cuboids.
                                                                                       18 Area, perimeter and volume    169
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