Surface Areas of Prisms and Cylinders

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Presentation transcript:

Surface Areas of Prisms and Cylinders GEOMETRY LESSON 10-3 Pages 531-535 Exercises 1. 1726 cm2 2. 216 ft2 3. 80 + 32 2 in.2 or about 125.3 in.2 4. a. right hexagonal prism b. 240 cm2 c. 48 3 cm2 10-3

Surface Areas of Prisms and Cylinders GEOMETRY LESSON 10-3 4. (continued) d. (240 + 48 3)cm2 5. 120 ft2; 220 ft2 6. 96 in.2; 108 in.2 7. 880 cm2; 1121 cm2 8. 40 cm2 9. 16.5 cm2 10. 101.5 in.2 11. 36.8 cm2 12. 236.4 in.2 13. 107 in.2 14. 226 m2 15. 1407 cm2 16. 20 cm 17. 150 cm2 18. A cylinder and a prism both have two bases and lateral faces that are rectangular. The bases of a cylinder are circles and the 18. (continued) bases of a prism are polygons. 19. 4080 mm2 20. Answers may vary. Sample: 10-3

Surface Areas of Prisms and Cylinders GEOMETRY LESSON 10-3 21. a. 94 units2 b. 376 units2 c. 4 : 1 d. 438 units2; 1752 units2; 4 : 1 e. The surface area becomes 4 times as large. 22. 11 in. 23. 47.5 in.2 26. (continued) e. 94 units2 27. cylinder of radius 4 and height 2; 48 units2 28. cylinder of radius 2 and height 4; 24 units2 29. cylinder of radius 2 and height 4; 24 units2 30. cylinder of radius 4 and height 2; 48 units2 24. about 75.5 in.2 25. a. 7 units b. 196 units2 26. a. A(3, 0, 0); B(3, 5, 0); C(0, 5, 0); D(0, 5, 4) b. 5 c. 3 d. 4 10-3

Surface Areas of Prisms and Cylinders GEOMETRY LESSON 10-3 31. a. Lateral area is doubled b. Surface area is more than doubled c. S.A. = 2 r2 + 2 rh; if r doubles: S.A. = 2(4 r2 + 2 rh). Since r is squared, surface area is more than doubled. 32. a. r 1.2 in.; h = 6 in. b. about 54.0 in.2 33. (148 + 66.5 ) cm2 34. (84 + 20 ) m2 35. (220 – 8 ) in.2 36. h = 6 m; r = 3 m 37. a. 0, 8, 12, 6, 1 b. 1728 in.2 38. C 39. I 40. D 41. A 42. B 43. C 44. [2] a. Lateral area is the perimeter times height. Since the lateral area is 48 in.2 and the perimeter of the is 24 in., h = 2 in. b. S.A. = 96 in.2 10-3

Surface Areas of Prisms and Cylinders GEOMETRY LESSON 10-3 44. (continued) [1] correct explanation OR correct surface area 45. 46. 47. 48. 37.7cm2 49. 22.1 cm2 50. a. R(c, b), S(c, –b), P(a, –b), Q(a, b) b. a – c; a – c; 2b; 2b c. Opposite sides are . 10-3