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Adult Numeracy Level 2 Volume

Adult Numeracy Level 2 Volume

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    Volume Volume Presentation Transcript

    • VOLUME Level 2 Adult Numeracy
    • Skills, knowledge & understanding
      • Understand and use given formulae for finding volumes of regular shapes e.g. a cuboid or cylinder
      • Know that measurements must be in the same units before calculating volume
      • Recognise the symbol for pi, and know its approximate value
      • Know how to make substitutions in a formula and work out the result
    • Volume of a Cuboid
      • The shape of a box is called a cuboid
      • To find the volume, you need to find out how
      • many cubed units will fit in the box.
      • A cubed unit could be cm 3 , m 3 mm 3 or
      • any other linear measure the “ 3 “ indicates
      • 3 dimensions
      1cm 1cm 1cm 1cm 3
    • 1cm 3 12cm 3
    • Without Counting
      • You can find the volume without
      • counting cubes.
      • You need to measure the 3
      • Dimensions
      • (Length, Width & Height)
    • 3 cm 2 cm 2 cm
      • If you multiply these, you will get the
      • Volume
      • (length x Width x Height)
      • 3 x 2 x 2 = 12cm 3
    • FORMULA
      • We call this a formula.
      • V = L x W x H
      • V =Volume L =Length W =Width H =Height
      • If you have covered formula, you may know that usually in a formula we don’t write the “X” sign. When 2 letters are next to each other, this means multiply
      • V = LWH
      • So without counting, we can work out
      • volume using V = LWH
      • V = 4 x 2 x 3
      • V = 12 cm 3
      • You MUST Make sure that the units are the same
      • before calculating the volume
      • This is NOT V = 1.5 X 80 X 20
      • You will need to convert to either CM or M
      • for all dimensions
      • V = 1.5 x 0.8 x 0.2 for the answer in m 3
      • V = 150 x 80 x 20 for the answer in cm 3
      1.5m 80cm 20cm
    • Volume of Other 3D Shapes
      • You only need to remember the formula for a cuboid (V = LxWxH)
      • All other Shapes, you will be
      • given the formula
    • FORMULA
      • Volume at level 2 requires you to be confident with formula, so if you struggle to follow the formulae in this section, it would be advisable to visit the Formula section on this site.
        • REMEMBER the order of operations!
      • B rackets, I ndices, D ivision, M ultiplication, A ddition then S ubtraction
      • B I D M A S !
    • Cylinder Radius (4cm) Height (6cm) Pi = 3.14 V = 3.14 x 4 2 x 6 (4 2 is 4x4 = 16) V = 3.14 x 16 6 V = 301.44cm 3
    • Triangular Prism 2 b = base (3cm) h = height (4cm) l = length (7cm) (Divided by) V = 3 x 4 x 7 V = 84 V = 42 cm 3 2 2 bhl V=