Survey of Mathematics

CHAPTER 8 Review Exercises 537 17. a) 84 in.2 b) 42 in. 25. 9 in. 12 in. 7 in. 3 km 4 km 18. (a) 6 km2 b) 12 km 19. Determine (a) the area and (b) the circumference of the circle. Use the π key on a calculator and round your answer to the nearest hundredth. 7 ft a) 153.94 ft2 b) 43.98 ft In Exercises 20 and 21, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 20. 10 m 64.38 m2 21. 6 yd 12 yd 12 yd 79.73 yd2 22. Cost of Hardwood Flooring Determine the total cost of covering a rectangular 14-ft by 16-ft kitchen floor with hardwood flooring. The cost of the flooring selected is $9.75 per square foot. $2184 $ 8.4 In Exercises 23–26, determine (a) the volume and (b) the surface area of the figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 23. 5 cm 11 cm 3 cm a) 165 cm3 b) 206 cm2 24. 9 ft 3 ft a) 254.47 ft3 b) 226.19 ft2 12 mm 16 mm a) 603.19 mm3 b) 435.20 mm2 26. 5 yd a) 523.60 yd3 b) 314.16 yd2 In Exercises 27 and 28, determine the volume of the figure. 27. 9 m 12 m 15 m 8 m 432 m3 28. 5 ft 7 ft 6 ft 5 ft 28 ft3 In Exercises 29 and 30, determine the volume of the shaded region. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 29. 9 cm 4 cm 75.40 cm3 30. 7 in. 14 in. 1257.16 in.3 31. Water Trough Dale has a water trough whose ends are trapezoids and whose sides are rectangles, as illustrated. He is afraid that the base it is sitting on will not support the weight of the trough when it is filled with water. He knows that the base will support 4800 lb. 2 ft 3 ft 4 ft 8 ft (Continued )

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