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AREA OF SOLIDS

AREA OF SOLIDS. Green group. Homework for Thursday Workbook page 189 Homework for Friday

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AREA OF SOLIDS

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  1. AREA OF SOLIDS

  2. Green group • Homework for Thursday • Workbook page 189 • Homework for Friday • Booklet (you may do the work separately and then staple it together…be sure to use the same font if you are doing it on computer…and be sure to have all the answers on the last page done correctly..double check them.

  3. Answers to homework - 4306 Workbook PYRAMIDS Page 182 #18a) 60 b) 57.72 c) 2214 #19 105.72 #20) 397.4 #21)$2240 Textbook Page 66 #2c)180 Workbook CONES Page 184 #27a) 31.42 b) 263.89 #28)138.23 #29) 45.24 #30)628.32 Textbook Page 67 #4)2356.19 Workbook SPHERES Page 185 #37a)78.54 b)113.10 #38)132.73 #39)127.23 Textbook Page 66 #2d)2827.43

  4. Metric Units UP the stairs you move decimal to the LEFT km hm dam m DOWN the stairs you move decimal to the RIGHT dm cm mm DRUL =Down Right, Up Left For each step you move the decimal 1 place left or right depending on how you are moving

  5. UNITS OF AREA km2 hm2 dam2 m2 dm2 cm2 mm2 Each step requires moving 2 decimal places because …. AREA is 2 dimensional Follow the DRUL rules…down right up left.

  6. Practise converting units 1345 mm = _________m 0.895 hm = ________ mm 45.256 km = ________ dam 43.664 m = ________ cm 7895.209 dm = ________ hm 678.34 km2= ________ dam2 34.56 m2 = ________ cm2 445.998 km2 = ________ hm2 57980.3 mm2 = ________ m2 0.94857 dam2= ________dm2 Workbook page 177 #1,2 91- for Thursday 4306 – for Wednesday 306-05 for wednesday

  7. Answers 1.345 89500 4525.6 4366.4 7.895209 6783400 345600 44599.8 0.0579803 9485.7

  8. Area of a Prism Step 1 – Find Area of Base Abase = 8cm x 2 cm Abase = 16 cm2 4 cm 2 cm Step 2 – Find the LA LA = Perimeter of base x height LA = 20 cm x 4 cm LA = 80 cm2 8 cm Step 3 – Find TA (total area) TA = Area of the bases + LA TA = 2(16) cm 2+ 80 cm 2 TA = 32 + 80 TA = 112 cm 2

  9. Can you find the area of the base when it’s a regular polygon? c = cote (side length) a = apothem c n= number of sides a n Yes…you CAN too !!!!! Area = C A N 2

  10. Example Find the area of the base of a regular hexagonal prism. Area base = can 2 A base = 10 x 8.7 x 6 2 A base = 522 2 A base = 261 cm2 c = 10 cm a=8.7 cm n = 6 sides

  11. Find the total area of this prism Pentagonal prism that has a height of 3cm c = 20 cm Step 2 – Find the LA LA = Pb x h LA = (20 x 5) x 3 LA = 100 x 3 LA = 300 cm2 Step 1 – Find Area 1 Base Abase = c a n 2 Abase = 20 x 4 x 5 2 Abase = 400 2 Abase = 200cm2 a = 4 cm n = 5 sides Step 3 – Find the Total Area of the prism TA prism = LA + 2(Abase) TA prism = 300 cm2 + 2 (200 cm2) TA prism = 300 cm2 + 400 cm2 TA prism = 700 cm2 Workbook page 178 # 3,4,5

  12. Page 178 #3,4,5 4.5 cm Step 1 – Find Area of Base Abase = L x W Abase = 4.5 x 4.5 Abase = 20.25cm2 #3 Step 2 – Find the LA LA = Perimeter of base x height LA = (4.5 x 4) x 4.5 cm LA = 18 cm x 4.5cm LA = 81cm2 Step 3 – Find the Total Area TA = 2(Abase ) + LA TA = 2(20.25) + 81 TA= 121.5 cm2

  13. Answers to Workbook Page 178 #4a) 72.72cm2 b) 108cm2 c) 190.8cm2 #5) 286.08cm2 Page 179 #6) 844.71cm2 # 7) 1107cm2 #8) 384cm2 Answers to Text book #2 Page 66 #2a) 15.12 cm2 Page 67 #3a) 238.77 cm2 b) 389.10cm2 c) 2140cm2 #5a) 1649.36cm2

  14. Page 179 #7 Area of base = can 2 Area of base = 9 x 6.2 x 5 2 Area of base = 279 2 Area of base = 139.5 cm2 9cm a= 6.2cm LA= Pb x height LA= (9 x 5) x 18.4 LA = 45 x 18.4 LA = 828 cm2 TA = 2(Area of base) + LA TA = 2(139.5) + 828 TA = 279 + 828 TA = 1107 cm2

  15. Area of a Cylinder r =10 mm Step 1 – Find Area of Bases Base is a circle…. Area = π r2 Abase = π(102) Abase = 314.16mm2 Height = 50 mm Workbook Page 181 #14a,b,c #15 Text #2 Page 66 #2a Page 67 #3a,b,c #5a Page 68 #9b Step 2 – Find the Lateral Area LA = Circumference of base x Height LA = 2πr x Height LA = 2π(10) x 50 LA = 62.83 x 50 LA = 3141.59 mm2 Step 3 – find the total area of the cylinder TA = LA + 2 Abase TA = 3141.59 + 2(314.16) TA = 3141.59 + 628.32 TA = 3769.91 mm2

  16. Homework corrections Workbook Page 181 #14a) 370.96cm2 b) 188.31cm2 c) 261.39cm2 #15 LA= 87.96 cm2 TA= 164.93cm2 Text #2 Page 66 #2a)15.12 67 #3a) 238.77 b)

  17. Area of Pyramid Step 1 –find area of base A = L x W A = 12 x 12 A = 144 cm2 Apothem 15cm Step 2 – Find LA LA = Pb x apothem 2 LA = 48 x 15 2 LA = 360 cm2 Square base 12cm Workbook Page 182 #18 to 22 Textbook #2 Page 66 #1c Page 67 #4 Step 3 – Total Area TA = LA + Area of Base TA = 360 + 144 TA = 504 cm2

  18. Area of a Cone Step 1 – Find Area of Base Area of base = πr2 Area of base = π (4.52) Area of base = 63.62 cm2 height apothem = 12 Step 2 – Find the LA LA = πr x apothem LA = π (4.5) ( 12) LA = 169.5 cm2 radius= 4.5 cm Step 3 – Find the TA TA = LA + Area of base TA = 169.5 + 63.62 TA = 233.27 cm2 Workbook Page 184 # 27-34

  19. How to find the dimensions of the sector of a circle r = a s 360 a s r

  20. Area of a Sphere r = 7cm TA = LA = 4πr2 TA = 4 π (72) TA = 615.75cm2 r What is the radius of a sphere that has an area of 452.39cm2

  21. 4306 3rd Workbook = spheres Page 185 # 37-39 Textbook #2 Page 66 #2d 1st Workbook = pyramids Page 182 #18 to 21 Textbook #2 Page 66 #2c ALL this is for THURSDAYS class, you will be given 73 min to work on this on Wednesday TEST- Mon Mar 29 2nd Workbook = cones Page 184 # 27-30 Textbook #2 Page 67 #4

  22. homework Green group 3rd Workbook = spheres Page 185 # 37-42 Textbook #2 Page 66 #2d 1st Workbook = pyramids Page 182 #18 to 22 Textbook #2 Page 66 #1c This work will be for Fridays class, you will be able to work on it on Thursday…ALL for Friday..no exceptions 2nd Workbook = cones Page 184 # 27-34 Textbook #2 Page 67 #4

  23. Homework for Monday 306-05 1st Workbook = pyramids Page 182 #18 to 21 Textbook #2 Page 66 #2c 3rd Workbook = spheres Page 185 # 37-39,41 Textbook #2 Page 66 #2d You have ALL class to work on these problems… finish ALL for MONDAY Test Tues Mar 30 2nd Workbook = cones Page 184 # 27-33 Textbook #2 Page 67 #4

  24. Homework for Friday March 19 yellow pyramids Textbook #2 Page 66 #2c For Next Thursday March 26 you must also have the following completed Decomposable Solids Workbook Page 188 Page 189 Only find the area of the parts you can touch from the outside On Wed Mar 31 you will have an assessment on Area much like the questions on 188-189 Cones Page 184 # 27-34 Textbook #2 Page 67 #4 Spheres Page 185 # 37-42 Textbook #2 Page 66 #2d

  25. Decomposable Solids Work CorrectWorkbook Page 189 7-11 Textbook #2 Page 68 #9b Page 69 #15 Page 73 #1 Page 74 #6a,8b Page 75 #11a Page 81 #6a,7a Page 82 #8, #12a

  26. Math 306 Workbook page 210 #12 Text #2 page 81 #7a page 82 #8b #12a FINISH FOR MONDAY Show all work clearly Be sure to label correctly the work that you are doing

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