Volume - PowerPoint

					                     Volume

The volume of a shape is the amount of space it fills.



  1m
                     1 cm              1 mm

1m      1 m3       1 cm     1 cm3     1 mm    1mm3

                                              1 mm
                            1 cm
       1m
   1 cubic metre
              Volume of a cuboid


                               Volume = 4 × 2 × 3

                               Volume = 24 cm3
3 cm


                           2 cm
             4 cm
       Volume = length × width × height

       Volume = area of cross-section x length
For a cuboid    Volume = length × width × height
         or     Volume = area of cross-section x length


  Example
                                 Volume of the fish tank

                                 Volume = 120 × 50 × 60
                         60 cm
                                        = 120 × 3000
50 cm                                   = 360 000 cm3
            120 cm

    Capacity in litres     = 360 000 ÷ 1000

  (1 litre = 1000 cm3)     = 360 litres
For a cuboid    Volume = length × width × height
         or      Volume = area of cross-section x length

  Example      Concrete block


                                      10 cm
                                     12 cm
                    2.5 m = 250 cm

            Volume = 250 × 12 × 10

                   = 2500 × 12

            Volume = 30 000 cm3
For a cuboid     Volume = length × width × height
         or      Volume = area of cross-section x length

  Example       Sand in sandpit

                                       20 cm = 0.2m

                                  1.5 m
                    2m

              Volume = 2 × 1.5 × 0.2
                     = 3 × 0.2
                     = 0.6
              Volume = 0.6 m3

				
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posted:6/2/2010
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