Survey of Mathematics

7.2 Length, Area, and Volume 427 55. 1 m hm 2 2 = 0.000 1 56. 1 dm m 2 2 = 0.01 57. 1 m mm 3 3 = 1 000 000 000 58. 1 hm dam 3 3 = 1000 59. 1 m hm 3 3 = 0.000 001 60. 1 cm dm 3 3 = 0.001 In Exercises 61– 66, refer to Table 7.3 to fill in the missing values. 61. = 724 cm m 3 724 62. 189 k m3 = 189 63. 435 cm 3 = 0.435 64. 256 m dm3 = 0.256 65. 5 m m 3 = 5 000 000 66. 7 k cm3 = 7 000 000 Problem Solving In Exercises 67–78, when appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 67. Central Park Central Park in New York City is approximately rectangular in shape with a length of 4 km and a width 0.8 km. a) Determine the area of the park in square kilometers. 3.2 km2 b) One km2 equals 100 ha. Determine the area of the park in hectares. 320 ha 68. Flower Garden A rectangular flower garden 60 m by 80 m is surrounded by a dirt walkway 1.6 m wide. a) Determine the area of the region covering the flower garden and the walkway. 5258.24 m2 b) Determine the area of the walkway. 458.24 m2 69. Children’s Playground The dimensions of a large rectangular playground are 42.4 m by 32.5 m. a) Determine the area of the playground in square meters. 1378 m2 b) One m2 equals 0.0001 ha. Determine the area of the playground in hectares. 0.1378 ha 70. Real Estate Sign In Costa Rica, a real estate sign indicated that a piece of property was for sale. It listed the total area of the property as 1 ha, 1531 m2 with frontal area of 67 m .2 a) One ha equals 10 000 m .2 What is the total area of the property in square meters? 11 531 m2 b) What is the total area in square kilometers? 0.011 531 km2 c) What is the frontal area in hectares? 0.0067 ha 71. Helicopter’s Rotor A large helicopter’s top rotor blade is 32.0 meters long. What is the area of the circle formed by the spinning rotor blade? 804.25 m2 72. Soccer Field The center circle of a soccer field has a diameter of 18.3 meters. Determine the area of the center circle. 263.02 m2 73. Fish Tank Volume A rectangular fish tank is 70 cm long, 40 cm wide, and 20 cm high. a) How many cubic centimeters of water will the tank hold? 56 000 cm3 b) How many milliliters of water will the tank hold? 56 000 m c) How many liters of water will the tank hold? 56 m Central Park in New York City GagliardiPhotography/ Shutterstock Tupungato/Shutterstock Ingrid Prats/Shutterstock

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