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Volume

S4. Volume. Counting Volume cubes. Volume of a cuboid. Liquid Volume Scales . www.mathsrevision.com. Weight and Scales. Using Weights. Starter Questions. S4. www.mathsrevision.com. Wednesday, March 12, 2014. Created by Mr. Lafferty @www.mathsrevision.com. 2. S4.

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Volume

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  1. S4 Volume Counting Volume cubes Volume of a cuboid Liquid Volume Scales www.mathsrevision.com Weight and Scales Using Weights Compiled by Mr. Lafferty Maths Dept.

  2. Starter Questions S4 www.mathsrevision.com Wednesday, March 12, 2014 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 2

  3. S4 Volumes by Counting Cubes Learning Intention Success Criteria • To know what volume means. • To understand the • term volume in terms of • counting cubes. • Work out volumes using 1cm3 cubes. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  4. Volume & Weight S4 Volume is the amount of space a 3D - shape takes up www.mathsrevision.com A dice 1cm2 Grain of salt 1mm2 4 Wheelie bins 1m2 Compiled by Mr. Lafferty Maths Dept.

  5. Volume & Weight S4 Weight is measured in grams, Kilograms and Tonnes A cubic centimetre of water weights exactly 1g A litre of water weights exactly 1 kg www.mathsrevision.com A cubic metre of water weighs exactly 1 Tonne 1g 1kg 1Tonne Compiled by Mr. Lafferty Maths Dept.

  6. Volume & Weight S4 What unit of volume should you use to measure cm3 (a) Packet of cereal mm3 (b) A diamond m3 (c) A warehouse www.mathsrevision.com mm3 (d) A raindrop m3 (e) The water in a swimming pool Compiled by Mr. Lafferty Maths Dept.

  7. Volume & Weight S4 What unit of weight should you use to measure kg (a) A person Tonnes (b) A yacht g (c) A cup of water www.mathsrevision.com Tonnes (d) A load of timber g (e) A feather Compiled by Mr. Lafferty Maths Dept.

  8. Volumes by Counting Cubes S4 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.

  9. 1cm 1cm Volumes by Counting Cubes S4 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.

  10. Volumes by Counting Cubes S4 What is its volume in cm³ of these shapes. www.mathsrevision.com 5 cm3 5 cm3 6 cm3 Compiled by Mr. Lafferty Maths Dept.

  11. Volumes by Counting Cubes S4 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.

  12. Volumes by Counting Cubes S4 Now try Ex 2.1 Ch4 (page 57) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  13. Starter Questions S4 www.mathsrevision.com Wednesday, March 12, 2014 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 13

  14. Volume of a cuboid S4 Learning Intention Success Criteria • To know the formula. • To understand how to • calculate the volume • of cuboid. • Use formula correctly. www.mathsrevision.com • Show working and • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  15. 4cm 18 cubes fit the base. 3cm 6cm Volume of a cuboid S4 = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³ Compiled by Mr. Lafferty Maths Dept.

  16. 4cm 3cm 6cm A short cut ! S4 height Area of rectangle breadth length Volume = 6 x 3 x 4 = 72 cm³ Volume= length xbreadth x height Compiled by Mr. Lafferty Maths Dept.

  17. Heilander’s Porridge Oats Example 1 Working Volume = l x b x h V = 18 x 5 x 27 27cm V = 2430 cm³ 5 cm 18 cm Compiled by Mr. Lafferty Maths Dept.

  18. Example 2 Working S4 Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ 2cm Compiled by Mr. Lafferty Maths Dept.

  19. Volume of a cuboid S4 Now try Ex 3.1 & 3.2 Ch4 (page 58) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  20. Starter Questions S4 www.mathsrevision.com Wednesday, March 12, 2014 Created by Mr. Lafferty @www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept. 20

  21. S4 Liquid Volume Learning Intention Success Criteria • To know the term liquid volume. • To understand the • term liquid volume using millilitres and litres. • Work out volumes using ml and litres. www.mathsrevision.com • Answer to contain • appropriate units. Compiled by Mr. Lafferty Maths Dept.

  22. Liquid Volume S4 A cube with volume 1cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. www.mathsrevision.com Liquids are measured in ml and litres These jugs have different scales. How do we work out how much liquid in a jug? Compiled by Mr. Lafferty Maths Dept.

  23. Liquid Volume S4 How much liquid in the jug ? Count the number of small divisions 2 Litres 1litre = 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.

  24. Liquid Volume S4 How much liquid in the jug ? Count the number of small divisions 2 Litres 1litre = 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.

  25. Liquid Volume S4 How much liquid in the jug ? ( Careful different scale) Count the number of small divisions 2 Litres 1litre = 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.

  26. Liquid Volume S4 Now try Ex 4.1 Ch4 (page 61) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  27. S4 Starter Questions Q1. Convert to 24hr clock 8.15am 10.02pm Q2. Round to 1 decimal place 103.525 Q3. How many minutes in 6 hours www.mathsrevision.com Q4. Find the time difference between 5.12am and 2.34pm Compiled by Mr. Lafferty Maths Dept.

  28. Weight & Scales S4 Learning Intention Success Criteria • To be able to read scales. • To explain how to read scales for weighs and how to convert from grams to kilograms and vice versa. • Be able to convert from grams to kilograms and vice versa. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  29. Weight & Scales S4 Calculate the weight each arrow is pointing at? 120g Count the number of small divisions 0 100g 5 200g Each division is worth www.mathsrevision.com 300g 20g 100 ÷ 5 = 280g 400g 500g 540g Compiled by Mr. Lafferty Maths Dept.

  30. 0 200g 400g 600g 800g 1kg Weight & Scales S4 Calculate the weight each arrow is pointing at? 80g Count the number of small divisions 5 Each division is worth www.mathsrevision.com 40g 200 ÷ 5 = 720g 1kg 20g Compiled by Mr. Lafferty Maths Dept.

  31. 0 200g 400g 600g 800g 1kg Weight & Scales S4 Calculate the weight each arrow is pointing at? 80g Count the number of small divisions 5 Each division is worth www.mathsrevision.com 40g 200 ÷ 5 = 720g 1kg 20g Compiled by Mr. Lafferty Maths Dept.

  32. Weight & Scales S4 Kilograms x 1000 grams 2kg 2 x 1000 2000g 1.5kg 1.5 x 1000 1500g www.mathsrevision.com ÷ 1000 Kilograms grams 3000 ÷ 1000 3000g 3kg 1500 ÷ 1000 1500g 1.5kg Compiled by Mr. Lafferty Maths Dept.

  33. Weight & Scales S4 Now try Ex 5.1 & 6.1 Ch4 (page 63) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  34. Level E Starter Questions 40o www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  35. Weight & Scales S4 Learning Intention Success Criteria • To be able to convert between grams and kilograms. • To solve problems involving weight and proportion. • Use proportion to solve weight problems. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  36. Weight & Scales S4 You need to remember the following. 1000g = 1kg 1000kg = 1 tonne www.mathsrevision.com Example : Change 1.7kg to grams 1.7 x 1000 = 1700g Compiled by Mr. Lafferty Maths Dept.

  37. Weight & Scales S4 You need to remember the following. 1000g = 1kg 1000kg = 1 tonne www.mathsrevision.com Example : Change 3200kg to tonnes 3200 ÷ 1000 = 3.2 tonnes Compiled by Mr. Lafferty Maths Dept.

  38. Weight & Scales S4 You need to remember the following. 1000g = 1kg 1000kg = 1 tonne www.mathsrevision.com Example : Change 4.5kg to kg and grams 4 kg 500g Compiled by Mr. Lafferty Maths Dept.

  39. Using Weight S4 • 4 packets of crisps weigh 100g • What is the weight of 1 packet. • (b) What is the weight of 6 packets. www.mathsrevision.com Answer : (a) 4pkts  100g 1 pkt  100 ÷ 4 = 25g 150g Answer : (b) 6 pkts  25 x 6 = Compiled by Mr. Lafferty Maths Dept. 39

  40. Using Weight S4 • 6 teacakes weigh 120g • What is the weight of 1 teacake. • (b) What is the weight of 10 teacakes. www.mathsrevision.com Answer : (a) 6pkts  120g 1 pkt  120 ÷ 6 = 20g 200g Answer : (b) 10 pkts  20 x 10 = Compiled by Mr. Lafferty Maths Dept. 40

  41. Weight & Scales S4 Now try Ex 7.1 & 7.2 Ch4 (page 65) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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