Presentation on theme: "Compiled by Mr. Lafferty Maths Dept."— Presentation transcript:
1Compiled by Mr. Lafferty Maths Dept. S4 Starter Questions10-Apr-17Compiled by Mr. Lafferty Maths Dept.
2Volumes 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.
3Volumes 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
4Volumes 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
5Volumes 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
6Volumes by Counting Cubes What is its volume in cm³ of these shapes.
7Volumes by Counting Cubes One unit of Volume is the “CUBIC CENTIMETRE”3cm2cm4cmVolume = 24 centimetre cube= 24 cm³
8Volume 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
9A 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
10Example 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
11Example 2WorkingVolume = l x b x hV = 2 x 2 x 2V = 8 cm³2cm
12Volume of a cuboidNow try Ex 2.1Ch2 Pg 24 Q 1 & 2
13Liquid 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.
14Example 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?
15Example 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.