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Volume

Volume. Volume by Counting. Volume of a cuboid. www.mathsrevision.com. Liquid Volumes. Starter Questions. Q1. 15% of 240. Q2. Calculate 5 - 6 x 8. www.mathsrevision.com. Q3. Expand a( 2y – 3 ). Volumes by Counting Cubes. Learning Intention. Success Criteria.

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Volume

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  1. Volume Volume by Counting Volume of a cuboid www.mathsrevision.com Liquid Volumes Compiled by Mr. Lafferty Maths Dept.

  2. Starter Questions Q1. 15% of 240 Q2. Calculate 5 - 6 x 8 www.mathsrevision.com Q3. Expand a( 2y – 3 ) Created by Mr.Lafferty

  3. 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 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. 1cm 1cm Volumes by Counting Cubes 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.

  6. Volumes by Counting Cubes What is its volume in cm³ of these shapes. www.mathsrevision.com 5 cm3 5 cm3 6 cm3 Compiled by Mr. Lafferty Maths Dept.

  7. Volumes by Counting Cubes One unit of Volume is the “CUBIC CENTIMETRE” 3cm www.mathsrevision.com Volume = 24 centimetre cube = 24 cm³ Compiled by Mr. Lafferty Maths Dept.

  8. Volumes by Counting Cubes Now try Lifeskills Ex 1 Ch10 (page 82) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  9. Starter Questions Q1. 35% of 360 Q2. Calculate 5 + 6 x 7 www.mathsrevision.com Q3. Expand 2( y – 5 ) Created by Mr.Lafferty

  10. Volume of a cuboid 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.

  11. 4cm 18 cubes fit the base. 3cm 6cm Volume of a cuboid 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.

  12. 4cm 3cm 6cm A short cut ! height Area of rectangle breadth www.mathsrevision.com length Volume = 6 x 3 x 4 = 72 cm³ Volume= length x breadth x height Compiled by Mr. Lafferty Maths Dept.

  13. Heilander’s Porridge Oats Example 1 Working 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.

  14. Example 2 Working 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.

  15. Volume Now try Lifeskills Ex 2 Ch10 (page 85) www.mathsrevision.com Created by Mr. Lafferty Maths Department

  16. Starter Questions 7cm www.mathsrevision.com Exchange Rate £1 =$1.50 Compiled by Mr. Lafferty Maths Dept.

  17. 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.

  18. Liquid Volume I’m a very small duck! How much water does this hold? 1 cm 1 cm www.mathsrevision.com 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.

  19. Liquid Volume 1 litre x 1000 1000ml 2 litres 2 x 1000 2000ml 0.5 litre 500 ml www.mathsrevision.com 3.2 litre 3200 ml 4.5 litre 4500 ml 0.75 litre 750 ml Compiled by Mr. Lafferty Maths Dept.

  20. Orange Flavour Example 1 Liquid Volume Working Volume = l x b x h 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.

  21. Example 2 Working Liquid Volume Volume = l x b x h 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.

  22. Have you updated your Learning Log ? Volume Now try Lifeskills Ex 3 Ch10 (page 87) www.mathsrevision.com Are you on Target ? I can ? Mind Map Created by Mr. Lafferty Maths Department

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