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### Volume

1. 1. VOLUME Level 2 Adult Numeracy
2. 2. Skills, knowledge & understanding <ul><li>Understand and use given formulae for finding volumes of regular shapes e.g. a cuboid or cylinder </li></ul><ul><li>Know that measurements must be in the same units before calculating volume </li></ul><ul><li>Recognise the symbol for pi, and know its approximate value </li></ul><ul><li>Know how to make substitutions in a formula and work out the result </li></ul>
3. 3. Volume of a Cuboid <ul><li>The shape of a box is called a cuboid </li></ul><ul><li>To find the volume, you need to find out how </li></ul><ul><li>many cubed units will fit in the box. </li></ul><ul><li>A cubed unit could be cm 3 , m 3 mm 3 or </li></ul><ul><li>any other linear measure the “ 3 “ indicates </li></ul><ul><li>3 dimensions </li></ul>1cm 1cm 1cm 1cm 3
4. 4. 1cm 3 12cm 3
5. 5. Without Counting <ul><li>You can find the volume without </li></ul><ul><li>counting cubes. </li></ul><ul><li>You need to measure the 3 </li></ul><ul><li>Dimensions </li></ul><ul><li>(Length, Width & Height) </li></ul>
6. 6. 3 cm 2 cm 2 cm
7. 7. <ul><li>If you multiply these, you will get the </li></ul><ul><li>Volume </li></ul><ul><li>(length x Width x Height) </li></ul><ul><li>3 x 2 x 2 = 12cm 3 </li></ul>
8. 8. FORMULA <ul><li>We call this a formula. </li></ul><ul><li>V = L x W x H </li></ul><ul><li>V =Volume L =Length W =Width H =Height </li></ul><ul><li>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 </li></ul><ul><li>V = LWH </li></ul>
9. 9. <ul><li>So without counting, we can work out </li></ul><ul><li>volume using V = LWH </li></ul><ul><li>V = 4 x 2 x 3 </li></ul><ul><li>V = 12 cm 3 </li></ul>
10. 10. <ul><li>You MUST Make sure that the units are the same </li></ul><ul><li>before calculating the volume </li></ul><ul><li>This is NOT V = 1.5 X 80 X 20 </li></ul><ul><li>You will need to convert to either CM or M </li></ul><ul><li>for all dimensions </li></ul><ul><li>V = 1.5 x 0.8 x 0.2 for the answer in m 3 </li></ul><ul><li>V = 150 x 80 x 20 for the answer in cm 3 </li></ul>1.5m 80cm 20cm
11. 11. Volume of Other 3D Shapes <ul><li>You only need to remember the formula for a cuboid (V = LxWxH) </li></ul><ul><li>All other Shapes, you will be </li></ul><ul><li>given the formula </li></ul>
12. 12. FORMULA <ul><li>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. </li></ul><ul><ul><li>REMEMBER the order of operations! </li></ul></ul><ul><li>B rackets, I ndices, D ivision, M ultiplication, A ddition then S ubtraction </li></ul><ul><li>B I D M A S ! </li></ul>
13. 13. 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
14. 14. 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=