N5 Num Volume Cube & Cuboid Volume of a Prism Volume Volume of a Cylinder Capacity

N5 Num Thursday, 25 February Created by Mr.Lafferty Starter Questions Q3.True or false Q1.Find the area of the triangle. Q2.Expand out and simplify 2w 2 – 3(2w – 5) Q4.Rearrange into the form y = 2y – 3x + 7 = 0 4cm 3cm 10cm

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Know formulae. 1.We are revising volume of a cuboid. 2.Use formulae correctly. 3.Show working and appropriate units. appropriate units. Volume

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. 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

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. A short cut ! 6 = 72 cm³ Volume =length x breadth x 4 x height length breadth height x 3Volume = 3cm 4cm 6cm Area of rectangle

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ Example 18 cm 5 cm 27cm Heilander’s Porridge Oats Working

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Example 2cm Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ Working

N5 Num 10 cm 9 cm 8 cm 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Find the volume of the composite shape. V 1 = l x b x h = 3 x 5 x 7 = 105 cm³ 7 cm 3 cm 5 cm V 2 = l x b x h = 8 x 10 x 9 = 720 cm³ V T = V 1 + V 2 V T = V T = 825 cm 3

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Volume = L x B x H 200 = L x 5 x = 20L Find the length the cuboid 5 cm 4 cm 10 cm V=200cm 3 This just an equation. We know how to solve them ! 20L = 200 L = 10 L

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Example 50 cm 100 cm 30 cm Volume = l x b x h V = 100 x 30 x 50 V = cm³ = 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

N5 Num Thursday, 25 February 2016 Created by Mr. Now try N5 Lifeskills Ex 1 Ch8 (page 74) Volume 12

N5 Num Thursday, 25 February Created by Mr.Lafferty Starter Questions Q1.True or false 2(x – 6) - 2(x + 6) = 0 Q2.Does x 20 = Explain your answer Q3.Factorise 2y 2 + 3y +2 Q4.Calculate

N5 Num Learning Intention Success Criteria 1.We are learning how to calculating volume of any prism given area. 1. Calculate the volume for various prisms. 2. Solution must include appropriate units and working. appropriate units and working. Volume of Prisms

N5 Num Definition : A prism is a solid shape with uniform cross-section Cylinder (circular Prism) Pentagonal Prism Triangular Prism Hexagonal Prism Volume = Area of Cross section x length Volume of Prisms

N5 Num Definition : A prism is a solid shape with uniform cross-section Cylinder (circular Prism) Pentagonal Prism Triangular Prism Hexagonal Prism Volume = Area of Cross section x length Volume of Prisms

N5 Num Definition : A prism is a solid shape with uniform cross-section Triangular Prism Volume = Area x length Q. Find the volume the triangular prism. 20cm 2 10cm = 20 x 10 = 200 cm 3 Volume of Solids

N5 Num Thursday, 25 February 2016 Created by Mr. Now try N5 Lifeskills Ex 2 Ch8 (page 75) 20 Volume of Prisms

N5 Num Thursday, 25 February Created by Mr.Lafferty Starter Questions Q1.Find the area of the parallelogram Q2.Factorise 4x + 40 Q3.A can of beans is reduce by 15% to 25p. Find the price before the reduction. Q4.The speed of light is metres per sec. True or false in scientific notation 3 x

N5 Num Learning Intention Success Criteria 1.To know formula. 1.We are learning how to derive the formula for the volume of a cylinder and apply it to solve problems. 2.Apply formula correctly. 3.Work backwards using formula. Volume of a Cylinder

N5 Num Volume = Area x height The volume of a cylinder can be thought as being a pile of circles laid on top of each other. = πr 2 Volume of a Cylinder Cylinder (circular Prism) x h h = πr 2 h

N5 Num V = πr 2 h Example : Find the volume of the cylinder below. = π(5) 2 x 10 5cm Cylinder (circular Prism) 10cm = 250π cm 3 Volume of a Cylinder = cm 3

N5 Num Thursday, 25 February 2016 Created by Mr. Now try N5 Lifeskills Ex 3 Ch8 (page 77) 28 Volume of a Cylinder

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Starter Questions 7cm Exchange Rate £1 =$1.50

N5 Num Liquid Volume 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Unerstand the term liquid volume. 1.We are learning the term liquid volume using millilitres and litres. 2.Calculate volumes using 1ml and litres. 3.Answer to contain appropriate units. appropriate units.

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. 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

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. 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

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Example 2 50 cm 100 cm 30 cm Volume = l x b x h V = 100 x 30 x 50 V = cm³ = 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

N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Now try N5 Lifeskills Ex 4 Ch8 (page 80) Liquid Volume