Level 7 Surface Area - Cuboid and Cylinder 28-Mar-17

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Presentation transcript:

Level 7 Surface Area - Cuboid and Cylinder 28-Mar-17 Objective Calculate the surface of a cuboids and cylinders A cylinder is just a name for a tube shape A cuboid is just a name for a box shape Level 7 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

a b Starter – Remembering the formulae (rules) and things The formula for the perimeter of a rectangle is: L + H + L + H L x H x L x H L x W ÷ 2 H a b L 2. The formula for the area of a rectangle is: L + H L x H L x W ÷ 2 H L © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Π 3. b 4. c Starter – Remembering the formulae (rules) and things 3. The Greek letter pi Π is approximately: 3.41 3.14 34.1 Π 3. b 4. c 4. The name for the perimeter of a circle is: Radius Diameter Circumference © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

5. a 6. c Starter – Remembering the formulae (rules) and things 5. The radius of a circle is: The distance from the centre to the edge The distance across a passing through the centre The distance all the way 5. a 6. c 6. The diameter of a circle is: Half of the radius Half the circumference Twice as big as the radius © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

7. c 8. b Starter – Remembering the formulae (rules) and things 7. The formula for the circumference of a circle is: Πr2 Πr Πd 7. c 8. b 8. The formula for the area of a circle is: a) 2Πr b) Πr2 c) Πd © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

9. a 10. c Starter – Remembering the formulae (rules) and things 9. Πr2 means: Π x r x r Π x r x 2 Πx Π x r 9. a 10. c 10. The formula for the area of a triangle is: a) Base x Height b) Base + Height c) Base x Height ÷ 2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

11. b 12. c Starter – Remembering the formulae (rules) and things 11. The little number 2 on area measures (4 cm2) means that: The answers is times 2 The units are square cm. The units are doubled 11. b 12. c 12. The area of a shape is a way of measuring its: a) Base b) Volume c) Surface © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

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 www.brain-cells.co.uk

Front Back and Sides A = 10 x 14 A = 140 cm2 Top 4 + 3 + 4 + 3 = 14 A = H x L Perimeter = L+H+L+H Top A = 3 x 4 A = 12 cm2 4 4 + 3 + 4 + 3 = 14 3 Front Side Back Side Front Back and Sides A = 10 x 14 A = 140 cm2 10 Bottom A = 3 x 4 A = 12 cm2 Surface Area 12 + 12 + 140 = 164 cm2 Bottom © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Top 5 + 4 + 5 + 4 = 18 Front Side Back Side Front Back and Sides A = H x L Perimeter = L+H+L+H Top A = 5 x 4 A = 20 cm2 5 5 + 4 + 5 + 4 = 18 4 Front Side Back Side Front Back and Sides A = 10 x 18 A = 180 cm2 10 Surface Area 20 + 20 + 180 = 220 cm2 Bottom A = 5 x 4 A = 20 cm2 Bottom © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Front Back and Sides = 140 cm2 Surface Area = 160 cm2 12 + 120 = 132 cm2 Top and Bottom = 20 cm2 Front Back and Sides = 140 cm2 Surface Area = 160 cm2 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Label TOP πd  3.14 x 10 = 31.4 5 A = 12 x 314 A = 376.8 cm2 12 A = Πr2 A = 3.14 x 52 A = 78.5 cm2 Area Circle = πr2 Circumference = πd d = 2r pi  π = 3.14 (to 2 d.p.) πd  3.14 x 10 = 31.4 5 Label A = 12 x 314 A = 376.8 cm2 12 The surface area is: A = 2x 78.5 + 376.8 A = 533.8 cm2 Bottom A = Πr2 A = 3.14 x 52 A = 78.5 cm2 BOTTOM © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Label TOP πd  3.14 x 16 = 50.24 8 A = 15 x 50.24 A = 753.6cm2 15 A = πr2 A = 3.14 x 82 A = 200.96 cm2 Area Circle = πr2 Circumference = πd d = 2r pi  π = 3.14 (to 2 d.p.) πd  3.14 x 16 = 50.24 8 Label A = 15 x 50.24 A = 753.6cm2 15 The surface area is: A = 2x 200.96 + 753.6 A = 1155.52 cm2 Bottom A = πr2 A = 3.14 x 82 A = 200.96 cm2 BOTTOM © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Radius = 3 Length = 10 SA = 244.9 Radius = 6 Radius = 10 Height = 10 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

Radius = 5 cm Height = 4 cm 10 2 900 6 8 10 cm 3 cm 4 cm Make a poster showing how to find the surface area of these three shapes 900 6 8 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk