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Volume

Learn how to calculate volume, perimeter, liquid capacity, and convert units. Practice with everyday objects and exercises. Clear explanations and examples provided.

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Volume

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

  2. Starter Questions Q1. Write 67% as a fraction and then a decimal. Q2. Find the perimeter of the rectangle. 9m www.mathsrevision.com 6m Q3. Find the area the rectangle in Q2. Compiled by Mr. Lafferty Maths Dept.

  3. Volume Learning Intention Success Criteria • Understand the term volume. • We are learning the • term volume. • Be able volume in terms of capacity. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  4. Volume What is Volume ? The amount of space a shape takes up in 3D ( Dimensions) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  5. Volume Put these everyday objects in order of volume. (smallest first) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  6. Volume Put these everyday objects in order of volume. (smallest first) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  7. Volume Julie is making 36 cup cakes for her friends. 4 cups of water (a) How much flour is used ? 150g 250g of butter 3 eggs (b) Julie bought half a dozen eggs. What fraction did she use ? ½ 50g of caster sugar 2 teaspoons of oil (c) If she needs to make 72 cakes How much butter will she need ? 150g of flour 500g ½ teaspoon of salt • On another day she only makes • 12 cakes. How many eggs will she need ? 1 egg Compiled by Mr. Lafferty Maths Dept.

  8. Liquid Volume Now try TJ2a Ex1 Ch13c (page 130) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  9. Starter Questions Q1. What is volume. Q2. 50% of 86. www.mathsrevision.com Q3. 7.9 x 1000 Compiled by Mr. Lafferty Maths Dept.

  10. 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.

  11. Liquid Volume I’m a very small duck! 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.

  12. Liquid Volume S4 Reading Scales How much liquid in the jug ? Count the number of small divisions 2 Litres 1 litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 200ml 1000ml ÷ 5 = 0 200ml x 4 = 800ml Compiled by Mr. Lafferty Maths Dept.

  13. Liquid Volume How much liquid in the jug ? Count the number of small divisions 2 Litres 1 litre = 1000ml 5 Each division is worth www.mathsrevision.com 1 1 litre ÷ 5 = 200ml 1000ml ÷ 5 = 0 200ml x 7 = 1400ml or 1.4 litres Compiled by Mr. Lafferty Maths Dept.

  14. Liquid Volume How much liquid in the jug ? ( Careful different scale) Count the number of small divisions 2 Litres 1 litre = 1000ml 4 Each division is worth www.mathsrevision.com 1 1 litre ÷ 4 = 250ml 1000ml ÷ 4 = 0 250ml x 7 = 1750ml or 1.75 litres Compiled by Mr. Lafferty Maths Dept.

  15. ConversionMillilitres to Litres 1000ml = 1 litre x 1000 Litres (l) millilitres (ml) www.mathsrevision.com ÷ 1000 raindrop Created by Mr. Lafferty Maths Dept.

  16. ConversionMillilitres to Litres 1000ml = 1 litre Convert the following to millilitres (a) 1.1 litres (b) 3.7 litres (c) 0.85 litres 1100 ml 3700 ml 850 ml Convert the following to litres www.mathsrevision.com (a) 2500 ml (b) 6100 ml (c) 450 ml 2.5 litres 6.1 litres 0.45 litres Created by Mr. Lafferty Maths Dept.

  17. Liquid Volume Now try TJ2a Ex2 Ch13c (page 132) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  18. Starter Questions Q1. What is perimeter. Q2. 25% of 120. www.mathsrevision.com Q3. Write 45 litres in ml. Compiled by Mr. Lafferty Maths Dept.

  19. 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.

  20. 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.

  21. Volumes by Counting Cubes 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.

  22. 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.

  23. 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.

  24. Volumes by Counting Cubes 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.

  25. Volumes by Counting Cubes Now try TJ2a Ex3 Ch13c (page 134) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  26. Starter Questions Q1. What is percentage out of. Q2. 10% of 240. www.mathsrevision.com Q3. ⅛ of 240. Compiled by Mr. Lafferty Maths Dept.

  27. 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.

  28. 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.

  29. 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 xbreadth x height Compiled by Mr. Lafferty Maths Dept.

  30. Heilander’s Porridge Oats Working Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ 27cm 5 cm 18 cm Demo Compiled by Mr. Lafferty Maths Dept.

  31. Working Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ 2cm www.mathsrevision.com Demo Compiled by Mr. Lafferty Maths Dept.

  32. Find the volume of the composite shape. 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.

  33. Find the length the cuboid 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.

  34. Have you updated your Learning Log ? Volume of a cuboid Now try TJ2a Ex4 Ch13c (page 137) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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