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12-Apr-15 Compiled by Mr. Lafferty Maths Dept. S4 Starter Questions

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Volumes by Counting Cubes Learning Intention To understand the term volume in terms of counting cubes. To understand how to calculate the volume of cuboid. To understand theterm liquid volume using millilitres and litres.

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= 1 centimetre cube 1cm = 1 cm³ One Unit of Volume is the “CUBIC CENTIMETRE” Volume is the amount of space a 3D - shape takes up Volumes by Counting Cubes

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= 2 centimetre cubes 1cm = 2 cm³ This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³? 1cm Volumes by Counting Cubes

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= 3 centimetre cubes = 3 cm³ This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³ 1cm Volumes by Counting Cubes

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What is its volume in cm³ of these shapes. 5 cm 3 6 cm 3 5 cm 3 Volumes by Counting Cubes

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Volume = 24 centimetre cube One unit of Volume is the “CUBIC CENTIMETRE” 2cm 3cm 4cm = 24 cm³ Volumes by Counting Cubes

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Volume of a cuboid 4 layers of 18 cubes = 4 x 18= 72 centimetre cubes= 72 cm³ 18 cubes fit the base. = 1 centimetre cube = 1 cm³ 3cm 4cm 6cm

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A short cut ! 6 = 72 cm³ Volume =lengthx breadth x 4 x height length breadth height x 3Volume = 3cm 4cm 6cm Area of rectangle

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Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ Example 1 18 cm 5 cm 27cm Heilander’s Porridge Oats Working

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Example 2 2cm Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ Working

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Now try Ex 2.1 Ch2 Pg 24 Q 1 & 2 Volume of a cuboid

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1 cm Volume = = 1 cm³ x hx b l How much water does this hold? A cube with volume 1cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre. I’m a very small duck! Liquid Volume

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Example 1 12 cm 6 cm 3 cm Orange Flavour Volume = l x b x h V = 6 x 3 x 12 V = 216 cm³ = 216 ml So the carton can hold 216 ml of orange juice. How much juice can this carton hold? Remember: 1 cm³ = 1 ml Working Liquid Volume

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Example 2 50 cm 100 cm 30 cm Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm³ = 150 000 ml So the fish tank can hold 150 litres of water. How much water can this fish tank hold in litres? 1cm 3 = 1 ml 1000 ml = 1 litre = 150 litres Working Liquid Volume

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Now try Ex 2.1 Ch3 Pg 24 Ex 2.2 Ch 3 Pg 25 Liquid Volume

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