Presentation on theme: "Compiled by Mr. Lafferty Maths Dept."— Presentation transcript:
1 Compiled by Mr. Lafferty Maths Dept. S4 Starter Questions10-Apr-17Compiled by Mr. Lafferty Maths Dept.
2 Volumes by Counting Cubes Learning IntentionTo understand the term volume interms of counting cubes.To understand how to calculate the volume of cuboid.To understand the term liquid volumeusing millilitres and litres.
3 Volumes by Counting Cubes Volume is the amount of space a 3D - shape takes up1cm1cm1cmOne Unit of Volume is the “CUBIC CENTIMETRE”= 1 centimetre cube= 1 cm³
4 Volumes by Counting Cubes This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³?1cm1cm1cm1cm= 2 centimetre cubes= 2 cm³
5 Volumes by Counting Cubes This shape is made up of 1 centimetre cubes placed next to each other. What is its volume in cm³1cm1cm1cm= 3 centimetre cubes= 3 cm³
6 Volumes by Counting Cubes What is its volume in cm³ of these shapes.
7 Volumes by Counting Cubes One unit of Volume is the “CUBIC CENTIMETRE”3cm2cm4cmVolume = 24 centimetre cube= 24 cm³
8 Volume of a cuboid 18 cubes fit the base. = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes= 4 x 18= 72 centimetre cubes= 72 cm³
9 A short cut ! Volume = 6 x 3 x 4 = 72 cm³ Volume = length x breadth heightArea of rectanglebreadthlengthVolume =6x 3x 4= 72 cm³Volume =lengthx breadthx height
10 Example 1 27cm 5 cm 18 cm Working Volume = l x b x h V = 18 x 5 x 27 Heilander’sPorridge OatsV = 18 x 5 x 27V = cm³27cm5 cm18 cm
11 Example 2WorkingVolume = l x b x hV = 2 x 2 x 2V = 8 cm³2cm
12 Volume of a cuboidNow try Ex 2.1Ch2 Pg 24 Q 1 & 2
13 Liquid Volume Volume = l x b x h = 1 cm³ I’m a very small duck!How much water does this hold?1 cm1 cm1 cmVolume =lx bx h= 1 cm³A cube with volume 1cm³ holds exact 1 millilitre of liquid.A volume of 1000 ml = 1 litre.
14 Example 1 Working Volume = l x b x h V = 6 x 3 x 12 V = 216 cm³ Liquid VolumeWorkingOrangeFlavourVolume = l x b x hV = 6 x 3 x 1212 cmV = 216 cm³= 216 ml3 cm6 cmSo the carton can hold216 ml of orange juice.Remember:1 cm³ = 1 mlHow much juice canthis carton hold?
15 Example 2 Working Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm³ Liquid VolumeWorkingVolume = l x b x hV = 100 x 30 x 50V = cm³50 cm= ml= 150 litres30 cm100 cmHow much water can this fish tank hold in litres?1cm3 = 1 ml1000 ml = 1 litreSo the fish tank can hold 150 litres of water.