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Surface Area - Cuboid and Cylinder 15-Feb-14 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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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Starter – Remembering the formulae (rules) and things 3. The Greek letter pi Π is approximately: a)3.41 b)3.14 c) The name for the perimeter of a circle is: a)Radius b)Diameter c)Circumference 3. b 4. c 3. b 4. c Π © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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Finding the surface area of a box The surface area of a box is the total of all the rectangles that are its sides, top and bottom. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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Front Top Bottom BackSide = 14 Top A = 3 x 4 A = 12 cm 2 Front Back and Sides A = 10 x 14 A = 140 cm 2 Surface Area = 164 cm 2 A = H x L Perimeter = L+H+L+H Bottom A = 3 x 4 A = 12 cm 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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Front Top Bottom BackSide = 18 Top A = 5 x 4 A = 20 cm 2 Front Back and Sides A = 10 x 18 A = 180 cm 2 Surface Area = 220 cm 2 A = H x L Perimeter = L+H+L+H Bottom A = 5 x 4 A = 20 cm 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 = 132 cm 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 = cm 2 The surface area is: A = 2x A = cm 2 Bottom A = Πr 2 A = 3.14 x 5 2 A = 78.5 cm 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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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 = Top A = πr 2 A = 3.14 x 8 2 A = cm 2 A = 15 x A = 753.6cm 2 The surface area is: A = 2x A = cm 2 Bottom A = πr 2 A = 3.14 x 8 2 A = cm 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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Radius = 6 Height = 10 SA = Radius = 10 Height = 15 SA = 1570 Radius = 3 Length = 10 SA = © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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10 cm 4 cm 3 cm Radius = 5 cm Height = 4 cm Make a poster showing how to find the surface area of these three shapes © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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