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# Volume

## on Mar 12, 2010

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Adult Numeracy Level 2 Volume

Adult Numeracy Level 2 Volume

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## VolumePresentation 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=