1. N5 Num Volume Cube & Cuboid Volume of a Prism Volume www.mathsrevision.com Volume of a Cylinder Capacity

2. N5 Num Thursday, 25 February 2016 2Created 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 www.mathsrevision.com 10cm

3. N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

4. 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 www.mathsrevision.com

5. N5 Num www.mathsrevision.com 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

6. 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

7. 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 www.mathsrevision.com

8. 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 www.mathsrevision.com 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 = 105 + 720 V T = 825 cm 3

9. N5 Num 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. Volume = L x B x H 200 = L x 5 x 4 200 = 20L www.mathsrevision.com 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

11. 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 = 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

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

13. N5 Num Thursday, 25 February 2016 13Created by Mr.Lafferty Starter Questions Q1.True or false 2(x – 6) - 2(x + 6) = 0 Q2.Does 2.5 + 1.25 x 20 = 27.55 Explain your answer Q3.Factorise 2y 2 + 3y +2 Q4.Calculate www.mathsrevision.com

14. 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. www.mathsrevision.com Volume of Prisms

15. N5 Num www.mathsrevision.com 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

16. N5 Num www.mathsrevision.com 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

17. N5 Num www.mathsrevision.com 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

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

21. N5 Num Thursday, 25 February 2016 21Created 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 300000000 metres per sec. True or false in scientific notation 3 x 10 8. 7 7 www.mathsrevision.com

22. 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. www.mathsrevision.com Volume of a Cylinder

23. N5 Num www.mathsrevision.com 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

24. N5 Num www.mathsrevision.com 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 = 784.5 cm 3

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

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

30. N5 Num Liquid Volume 25-Feb-16 Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 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.

31. 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

32. 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 www.mathsrevision.com Liquid Volume

33. 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 = 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

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