S1_Level_E_Ch16_Volumes (1)

S1_Level_E_Ch16_Volumes (1) - Volume Level E...

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Unformatted text preview: Volume Level E www.mathsrevision.com Counting Volume cubes Volume of a cuboid Liquid Volumes 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions Level E 1. Solve t he inequalit y 3x- 3 12 where x is f rom 1,2,3, 4,5,6, 7 Calculat e (- 4) +(- 1) +8 Calculat e x: Change 692cm int o m W hat is t he coordinat e C(- 8,- 4) ref lect ed in t he y- axis? { } www.mathsrevision.com 2. 3. 4. 5. X% 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes Level E Learning Intention Success Criteria 1. To know what volume means. 2. Work out volumes using 1cm cubes. 3. Answer to contain appropriate units. 3 www.mathsrevision.com 1. To understand the term volume in terms of counting cubes. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes Level E Volume is the amount of space a 3D - shape takes up www.mathsrevision.com 1c m 1c m One Unit of Volume is the "CUBIC CENTIMETRE" m 1c = 1 centimetre cube 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. = 1 cm Volumes by Counting Cubes Level E This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm? www.mathsrevision.com 1c m 1c m 1c m 1c m = 2 centimetre cubes 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. = 2 cm Volumes by Counting Cubes Level E This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm www.mathsrevision.com 1c m 13 Feb 2012 1c m 1c m 1c m = 3 centimetre cubes Compiled by Mr. Lafferty Maths Dept. = 3 cm Volumes by Counting Cubes Level E What is its volume in cm of these shapes. www.mathsrevision.com 5 cm 5 cm 13 Feb 2012 3 3 6 cm 3 Compiled by Mr. Lafferty Maths Dept. Volumes by Counting Cubes Level E One unit of Volume is the "CUBIC CENTIMETRE" www.mathsrevision.com 3cm cm 2 4cm Volume = 24 centimetre cube = 24 cm Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 Volumes by Counting Cubes Level E www.mathsrevision.com Now try Exercise 1 Ch16 (page 183) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions Level E 5cm www.mathsrevision.com 1. 2. 3. 4. Calculat e t he perimet er of 6cm W hat is t he number t hat is 350 bef ore 20160? W rit e 27% as a decimal How long is it f rom 10. 03am t o 11. 35am Exchange Rate 1 =$1.50 5. J en changed 750 int o dollars. How many dollars did she get ? 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid Level E Learning Intention Success Criteria 1. To know the formula. 2. Use formula correctly. 3. Show working and appropriate units. www.mathsrevision.com 1. To understand how to calculate the volume of cuboid. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid Level E www.mathsrevision.com 4cm 3cm 18 cubes fit the base. 6cm = 1 centimetre cube = 1 cm 4 layers of 18 cubes = 4 x 18 13 Feb 2012 = 72 centimetre cubes Compiled by Mr. Lafferty Maths Dept. = 72 cm A short cut ! Level E www.mathsrevision.com height 4cm 3cm Area of rectangle length 6cm breadth Volume = 6 x 3 x 4 = 72 cm Volume = length x breadth x height 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example 1 Level E Working Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm 27cm 5 c m Heilander's Porridge Oats 18 cm 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example 2 Working Level E Volume = l x b x h V = 2 x 2 x 2 V = 8 cm www.mathsrevision.com 2cm 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Volume of a cuboid Level E www.mathsrevision.com Now try Exercise 2 Ch16 (page 186) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Level E Starter Questions Level E www.mathsrevision.com 1. 2. 3. 4. Calculat e t he perimet er of W hat is t he 5t h square ? W rit e 12. 5% as a decimal 7cm How long is it f rom 1. 23pm t o 15. 28 hrs Exchange Rate 1 =$1.50 5. J en changed $ 450 int o pounds. How many pounds did she get ? 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Liquid Volume Level E Learning Intention Success Criteria 1. To know the term liquid volume. 2. Work out volumes using 1ml and litres. 3. Answer to contain appropriate units. www.mathsrevision.com 1. To understand the term liquid volume using millilitres and litres. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Liquid Volume Level E How much water does this hold? 1 cm I'm a very small duck! 1 cm 1 cm Volume = 13 Feb 2012 l x b x h = 1 cm Compiled by Mr. Lafferty Maths Dept. A cube with volume 1cm holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. Example 1 Liquid Volume Level E Working Volume = l x b x h V = 6 x 3 x 12 V = 216 cm = 216 ml So the carton can hold 216 ml of orange juice. Remember: 1 cm = 1 ml www.mathsrevision.com 12 cm 3 c m Orange Flavour 6 cm How much juice can this carton hold? 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example 2 Liquid Volume Level E Working Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm 30 cm 50 cm 100 cm = 150 000 ml = 150 litres 3 So the fish tank can hold 150 1cm = 1 ml litres of water. 1000 ml = 1 litre How much water can this fish tank hold in litres? 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Liquid Volume Level E www.mathsrevision.com Now try Exercise 3 Ch16 (page 189) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. ...
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