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Volume

MNU 2-11c MTH 3-11b. Volume. Counting Volume cubes. Volume of a cuboid. Liquid Volumes . www.mathsrevision.com. MNU 2-11c MTH 3-11b. Level E Starter Questions. X%. www.mathsrevision.com. MNU 2-11c MTH 3-11b. Volumes by Counting Cubes. Learning Intention. Success Criteria.

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Volume

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  1. MNU 2-11c MTH 3-11b Volume Counting Volume cubes Volume of a cuboid Liquid Volumes www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  2. MNU 2-11c MTH 3-11b Level E Starter Questions X% www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. MNU 2-11c MTH 3-11b Volumes by Counting Cubes Learning Intention Success Criteria • Understand the term volume. • We are learning the • term volume in terms of • counting cubes. • Calculate volumes by counting 1cm3 cubes. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  4. Volumes by Counting Cubes MNU 2-11c MTH 3-11b Volume is the amount of space a 3D - shape takes up 1cm 1cm 1cm www.mathsrevision.com One Unit of Volume is the “CUBIC CENTIMETRE” = 1 centimetre cube = 1 cm³ Compiled by Mr. Lafferty Maths Dept.

  5. Volumes by Counting Cubes MNU 2-11c MTH 3-11b This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³? 1cm www.mathsrevision.com 1cm 1cm 1cm = 2 cm³ = 2 centimetre cubes Compiled by Mr. Lafferty Maths Dept.

  6. 1cm 1cm Volumes by Counting Cubes MNU 2-11c MTH 3-11b This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³ www.mathsrevision.com 1cm 1cm = 3 centimetre cubes = 3 cm³ Compiled by Mr. Lafferty Maths Dept.

  7. Volumes by Counting Cubes MNU 2-11c MTH 3-11b What is its volume in cm³ of these shapes. www.mathsrevision.com 5 cm3 5 cm3 6 cm3 Compiled by Mr. Lafferty Maths Dept.

  8. Volumes by Counting Cubes MNU 2-11c MTH 3-11b One unit of Volume is the “CUBIC CENTIMETRE” 3cm www.mathsrevision.com 2cm 4cm Volume = 24 centimetre cube = 24 cm³ Compiled by Mr. Lafferty Maths Dept.

  9. Volumes by Counting Cubes MNU 2-11c MTH 3-11b Now try Exercise 1 Ch16 (page 183) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  10. MNU 2-11c MTH 3-11b Level E Starter Questions 5cm 6cm www.mathsrevision.com Exchange Rate £1 =$1.50 Compiled by Mr. Lafferty Maths Dept.

  11. Volume of a cuboid MNU 2-11c MTH 3-11b Learning Intention Success Criteria • Remember the formula. • We are learning how to • calculate the volume • of a cuboid. • Apply formula correctly. www.mathsrevision.com • Show working and • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  12. 4cm 18 cubes fit the base. 3cm 6cm Volume of a cuboid MNU 2-11c MTH 3-11b www.mathsrevision.com = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³ Compiled by Mr. Lafferty Maths Dept.

  13. 4cm 3cm 6cm A short cut ! MNU 2-11c MTH 3-11b height Area of rectangle breadth www.mathsrevision.com length Volume = 6 x 3 x 4 = 72 cm³ Volume= length xbreadth x height Compiled by Mr. Lafferty Maths Dept.

  14. Heilander’s Porridge Oats Example 1 Working MNU 2-11c MTH 3-11b Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ 27cm 5 cm 18 cm Compiled by Mr. Lafferty Maths Dept.

  15. Example 2 Working MNU 2-11c MTH 3-11b Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ 2cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  16. Example 3 Find the volume of the composite shape. MNU 2-11c MTH 3-11b VT = V1 + V2 7 cm VT = 105 + 720 5 cm VT = 825 cm3 3 cm 9 cm V1 = l x b x h www.mathsrevision.com = 3 x 5 x 7 V2 = l x b x h = 105 cm³ 10 cm = 8 x 10 x 9 8 cm = 720 cm³ Compiled by Mr. Lafferty Maths Dept.

  17. Example 4 Find the length the cuboid MNU 2-11c MTH 3-11b This just an equation. We know how to solve them ! 4 cm Volume = L x B x H V=200cm3 200 = L x 5 x 4 5 cm www.mathsrevision.com 200 = 20L 10 cm L 20L = 200 L = 10 Compiled by Mr. Lafferty Maths Dept.

  18. Volume of a cuboid MNU 2-11c MTH 3-11b Now try Exercise 2 Ch16 (page 186) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  19. MNU 2-11c MTH 3-11b Level E Starter Questions 7cm www.mathsrevision.com Exchange Rate £1 =$1.50 Compiled by Mr. Lafferty Maths Dept.

  20. MNU 2-11c MTH 3-11b Liquid Volume Learning Intention Success Criteria • Unerstand the term liquid volume. • We are learning the • term liquid volume using millilitres and litres. • Calculate volumes using 1ml and litres. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  21. Liquid Volume I’m a very small duck! MNU 2-11c MTH 3-11b How much water does this hold? 1 cm 1 cm 1 cm Volume = x b x h l = 1 cm³ A cube with volume 1cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. Compiled by Mr. Lafferty Maths Dept.

  22. Orange Flavour Example 1 Liquid Volume Working Volume = l x b x h MNU 2-11c MTH 3-11b V = 6 x 3 x 12 12 cm V = 216 cm³ = 216 ml 3 cm www.mathsrevision.com 6 cm So the carton can hold 216 ml of orange juice. Remember: 1 cm³ = 1 ml How much juice can this carton hold? Compiled by Mr. Lafferty Maths Dept.

  23. Example 2 Working Liquid Volume Volume = l x b x h MNU 2-11c MTH 3-11b V = 100 x 30 x 50 V = 150 000 cm³ 50 cm = 150 000 ml = 150 litres 30 cm 100 cm 1cm3 = 1 ml 1000 ml = 1 litre How much water can this fish tank hold in litres? So the fish tank can hold 150 litres of water. Compiled by Mr. Lafferty Maths Dept.

  24. Liquid Volume MNU 2-11c MTH 3-11b Now try Exercise 3 Ch16 (page 189) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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