Survey of Mathematics

428 CHAPTER 7 The Metric System 74. Carry-On Suitcase For most airlines, the maximum allowable dimensions of a carry-on suitcase are length 55 cm, width 25 cm, and height 35 cm. a) What is the maximum volume, in cubic centimeters, of a carry-on suitcase? 48 125 cm3 b) What is the maximum volume in cubic meters? 0.048 125 m3 c) What is the maximum volume in cubic millimeters? 48 125 000 mm3 75. Cough Syrup A bottle contains 150 m of cough syrup. This cough syrup has an adult dosage of 5 cc. a) How many adult doses does this bottle contain? 30 doses b) Marnie, an adult, takes three doses daily, on consecutive days. How many days will the bottle last? 10 days 76. Acetaminophen Dosage Dr. Sallam recommends a dosage of 2.5 cc of acetaminophen to reduce fever in children between one and two years of age. a) How many doses are in one 60 m bottle of acetaminophen? 24 doses b) Vanessa works at a children’s clinic and wishes to keep at least 120 doses of acetaminophen in stock. How many 60 m bottles should Vanessa keep in stock? 5 bottles 77. Water Heater A cylindrical water heater has a diameter of 0.56 m and a height of 1.17 m. If the water heater is filled, determine the volume of water in the water heater in a) cubic meters. 0.29 m3 b) liters. 290 78. Volume of a Saucepan A cylindrical saucepan has a diameter of 18.0 cm and a height of 9.0 cm. a) Determine the volume of the saucepan in cubic centimeters. 2290.22 cm3 b) Determine the volume of the saucepan in liters. 2.29 liters 79. How many times larger is a square kilometer than a square hectometer? 100 times larger 80. How many times larger is a square kilometer than a square dekameter? 10,000 times larger 81. How many times larger is a cubic meter than a cubic decimeter? 1000 times larger 82. How many times larger is a cubic centimeter than a cubic millimeter? 1000 times larger Glacier In Exercises 83 and 84, assume that a part of a glacier that contains 60 cubic meters of ice breaks off and falls into the ocean. 83. When the ice that has fallen into the ocean melts, determine the approximate amount of water, in kiloliters, obtained from the ice. 60 k 84. When the ice melts, determine the approximate amount of water, in cubic centimeters, obtained from the ice. 60 000 000 cm3 Group Activities In Exercises 85–88, (a) estimate the item in metric units and (b) measure it with a metric ruler. Record your result. 85. The height of a student desk Answers will vary. 86. The width of a classroom door Answers will vary. 87. The diameter of a soda can Answers will vary. 88. The thickness of a quarter Answers will vary. In Exercises 89–92, (a) estimate the area of the item in metric units and (b) measure its dimensions in metric units and compute its area. 89. The cover of a hardbound book Answers will vary. 90. A $20 bill Answers will vary. 91. A classroom whiteboard Answers will vary. 92. The face of a penny Answers will vary. In Exercises 93–96, (a) estimate the volume of the item in metric units, and (b) measure its dimensions in metric units and compute its volume. 93. Air in an empty pizza box Answers will vary 94. Air in an empty shoe box Answers will vary 95. Coffee in a full coffee cup Answers will vary 96. Soda in a full soda can Answers will vary Challenge Problems 97. Hectares How many square centimeters are there in one hectare? 100 000 000 cm2 98. Square Kilometers How many hectares are there in one square kilometer? 100 ha 99. Cubic Kilometers How many kiloliters are there in one cubic kilometer? 1 000 000 000 k

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