D.6. CHAPTER 6
Exercise 1
1. (a) 62.8°; (b) 64.6°; (c) 37.7°
3. 5.05
5. A = C = 46.3°; B = D = 134°
Exercise 2
1. θ = 77°, φ = 103°
3. 235 sq. units
5. a = 27.6 units, b = 58.2 units
7. 57.5 units
9. $4405
11. 36.0 ft
13. 28.3 ft
15. 264 m
17. 19.8 in.
19. 43.39 acres
21. 5.2 mm
23. 6.62 in.
25. 2.30 in.
27. 2.62 m
Exercise 3
1. (a) 34.0 in.2; 23.3 in. (b) 23.2 m2; 19.3 m (c) 282,000 cm2; 2240 cm (d) 4070 in.2; 258 in.
3. $3042
5. $348
7. $3220
9. $861
11. 1000 bricks
13. (a) 30s° (b) 45° (c) 60° (d) 67.5°
Exercise 4
1. 30.3 cm; 73.0 cm2
3. 11.9 in.; 445 in.2
5. 3.55 ft; 22.3 ft
7. 45.4 cm
9. 0.738 unit
11. 44.7 units
13. 15.8 in.
15. 104 m
17. 15.1 in.
19. 218 cm
21. 1.200 in.
23. 247 cm
25. 0.820 m
27. 3.52 ft
29. 7.500 in.
Exercise 5
1. 26.6 in.3
3. 6.34 × 107 in.3
5. 40 ft2, 12 ft3
7. 1800 ft2, 8830 ft3
9. (a) 84.4 sq. in., 52.7 cubic in. (b) 4150 sq. cm, 18,200 cubic cm (c) 30.1 sq. ft, 11.2 cubic ft
11. 100 cuts
13. 428 loads
15. 56¼ board ft
17. 770 yd3
19. 128 ft3
21. 3½ loads
23. 4.6 yd3
27. 123 in.3, 118 in.2
29. 104 in.2
31. 1180 ft2
33. 35.4 ft
Exercise 6
1. (a) 2860 in.2, 4730 in.2, 24,700 in.3 (b) 95,100 cm2, 123,000 cm2, 3,190,000 cm3 (c) 31.7 m2, 52.6 m2, 28.9 m3
3. 177 in.3
5. 3530 mm3
7. 2.01 liters
9. 14.8 m3
11. 857 gal
13. (a) 208 sq. in., 284 sq. in., 317 cubic in. (b) 4.52 sq. m, 6.79 sq. m, 1.28 cubic m
15. 5650 cm2
17. 660 ft3
19. 12.0 ft3
23. A = 15.8; r = 1.12
25. r = 1.91 cm; V = 29.3 cm3
27. 4
29. (a) 12.9 m (b) 41280 kg
Review Problems
1. 1440 mi/h
3. 2.88 m
5. 13 m
7. 175,000 square units
9. 43.1 in.
11. 17.5 m
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