1. Surface Area - Cuboid and Cylinder 9-Jun-16 A cuboid is just a name for a box shape Objective Calculate the surface of a cuboids and cylinders Objective Calculate the surface of a cuboids and cylinders A cylinder is just a name for a tube shape Level 7

2. Starter – Remembering the formulae (rules) and things 1.The formula for the perimeter of a rectangle is: a)L + H + L + H b)L x H x L x H c)L x W ÷ 2 H L 2. The formula for the area of a rectangle is: a)L + H b)L x H c)L x W ÷ 2 H L 1.a 2.b 1.a 2.b

3. Starter – Remembering the formulae (rules) and things 3. The Greek letter pi Π is approximately: a)3.41 b)3.14 c)34.1 4. The name for the perimeter of a circle is: a)Radius b)Diameter c)Circumference 3. b 4. c 3. b 4. c Π

4. Starter – Remembering the formulae (rules) and things 5. The radius of a circle is: a)The distance from the centre to the edge b)The distance across a passing through the centre c)The distance all the way 6. The diameter of a circle is: a)Half of the radius b)Half the circumference c)Twice as big as the radius 5. a 6. c 5. a 6. c

5. Starter – Remembering the formulae (rules) and things 7. The formula for the circumference of a circle is: a)Πr 2 b)Πr c)Πd 8. The formula for the area of a circle is: a) 2Πr b) Πr 2 c) Πd 7. c 8. b 7. c 8. b

6. Starter – Remembering the formulae (rules) and things 9. Πr 2 means: a)Π x r x r b)Π x r x 2 c)Πx Π x r 10. The formula for the area of a triangle is: a) Base x Height b) Base + Height c) Base x Height ÷ 2 9. a 10. c 9. a 10. c

7. Starter – Remembering the formulae (rules) and things 11. The little number 2 on area measures (4 cm 2 ) means that: a)The answers is times 2 b)The units are square cm. c)The units are doubled 12. The area of a shape is a way of measuring its: a) Base b) Volume c) Surface 11. b 12. c 11. b 12. c

8. And all boxes have four sides and a top and a bottom. How could a box have an area? Objective Calculate the surface of a cuboid Objective Calculate the surface of a cuboid

10. 10 4 3 Front Top Bottom BackSide 4 + 3 + 4 + 3 = 14 Top A = 3 x 4 A = 12 cm 2 Front Back and Sides A = 10 x 14 A = 140 cm 2 Surface Area 12 + 12 + 140 = 164 cm 2 A = H x L Perimeter = L+H+L+H Bottom A = 3 x 4 A = 12 cm 2

11. 10 5 4 Front Top Bottom BackSide 5 + 4 + 5 + 4 = 18 Top A = 5 x 4 A = 20 cm 2 Front Back and Sides A = 10 x 18 A = 180 cm 2 Surface Area 20 + 20 + 180 = 220 cm 2 A = H x L Perimeter = L+H+L+H Bottom A = 5 x 4 A = 20 cm 2

12. 10 cm 5 cm 2 cm 12 cm 3 cm 2 cm Top and Bottom = 20 cm 2 Front Back and Sides = 140 cm 2 Surface Area = 160 cm 2 Surface Area 12 + 120 = 132 cm 2

13. TOP BOTTOM Label Area Circle = πr 2 Circumference = πd d = 2r pi  π = 3.14 (to 2 d.p.) 5 12 πd  3.14 x 10 = 31.4 Top A = Πr 2 A = 3.14 x 5 2 A = 78.5 cm 2 A = 12 x 314 A = 376.8 cm 2 The surface area is: A = 2x 78.5 + 376.8 A = 533.8 cm 2 Bottom A = Πr 2 A = 3.14 x 5 2 A = 78.5 cm 2

14. TOP BOTTOM Label Area Circle = πr 2 Circumference = πd d = 2r pi  π = 3.14 (to 2 d.p.) 8 15 πd  3.14 x 16 = 50.24 Top A = πr 2 A = 3.14 x 8 2 A = 200.96 cm 2 A = 15 x 50.24 A = 753.6cm 2 The surface area is: A = 2x 200.96 + 753.6 A = 1155.52 cm 2 Bottom A = πr 2 A = 3.14 x 8 2 A = 200.96 cm 2

15. Radius = 6 Height = 10 SA = 602.9 Radius = 10 Height = 15 SA = 1570 Radius = 3 Length = 10 SA = 244.9

16. 10 cm 4 cm 3 cm Radius = 5 cm Height = 4 cm 10 8 6 2 90 0 Make a poster showing how to find the surface area of these three shapes