Survey of Mathematics

ANSWERS A-27 This figure contains the answers for Exercises 11 and 12. A B C D A9 D9 C9 B9 m l 12. 11. B9 A9 C9 D9 This figure contains the answers for Exercises 13 and 14. D9 C9 B9 A9 A9 C9 D9 D A B C B9 m l 13. 14. This figure contains the answers for Exercises 15 and 16. C9 m C C9 l 16. 15. This figure contains the answers for Exercises 17 and 18. 17. 18. B A C C9 A9 B9 A9 C9 B9 This figure contains the answers for Exercises 19 and 20. D9 C9 B9 A9 A9 C9 D9 D A B C B9 19. 20. 51. a) 216 in.2 b) $0.11 c) 201.06 in.2 d) $0.12 e) Michelangelo’s 53. $351.31 55. a) 288 ft b) 4700 tiles 57. a) 1359 ft2 b) 151 yd2 c) 3 bottles d) $57 59. 24 cm2 61. Answers will vary. 62. Answers will vary. SECTION 8.4, PAGE 496 1. Volume 3. Platonic 5. Right 7. a) 64 ft3 b) 112 ft2 9. a) 150.80 in.3 b) 175.93 in.2 11. a) 131.95 cm3 b) 163.22 cm2 13. a) 3053.63 mi3 b) 1017.88 mi2 15. 162 m3 17. 720 cm3 19. 1500 ft3 21. 284.46 cm3 23. 392 ft3 25. 24 ft3 27. 189 ft3 29. 16.8 yd3 31. 1,500,000 cm3 33. 0.5 m3 35. 6 faces 37. 6 vertices 39. 30 edges 41. a) 225 ft3 b) $2475 43. a) 120,000 cm3 b) 120,000 m c) 120 45. a) 133.52 ft2 b) 2 qt c) $32.96 47. 200.98 cm3 49. a) 401.11 in.3 b) 263.02 in.2 51. a) Circular pan base: 63.62 in. ;2 rectangular pan base: 63 in.2 b) Circular pan volume: 127.23 in. ;3 rectangular pan volume: 126 in.3 c) Circular pan 53. a) 180 ft3 b) 6.67 yd3 55. 14.14 in.3 57. 283.04 in.3 59. a) ≈ × 5.11 10 km 8 2 b) ≈ × 3.79 10 km 7 2 c) ≈13 times larger d) ≈ × 1.09 10 km 12 3 e) ≈ × 2.20 10 km 10 3 f) ≈50 times larger 61. a) = = = = V aV abV abV ab ; ; ; ; 1 3 2 2 3 2 4 2 = = = V a b V ab V b ; ; 5 2 6 2 7 3 b) ab2 c) Answers will vary. 63. The new volume will be 8 times the original volume. 65. a) 330 in.3 b) 330.84 in.3 SECTION 8.5, PAGE 515 1. Reflection 3. Vector 5. Rotation 7. Symmetry This figure contains the answers for Exercises 9 and 10. 10. 9. B9 C9 A9 A C B m A9 B9 C9 l

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