Survey of Mathematics

7.4 Dimensional Analysis and Conversions to and from the Metric System 447 58. Alaska and Venezuela The state of Alaska has a land area of 663,268 square miles. The country of Venezuela has a land area of 912,050 square kilometers. a) Convert the land area of Alaska to square kilometers. 1 717 864.12 km2 b) Convert the land area of Venezuela to square miles. 352,142.86 mi2 c) Which has a larger land area, Alaska or Venezuela? Alaska 59. Seneca Lake and Loch Ness Seneca Lake in New York contains 3.814 cubic miles of water. Loch Ness in Scotland contains 7.452 cubic kilometers of water. a) Convert the volume of Seneca Lake to cubic kilometers. 15.90 km3 b) Convert the volume of Loch Ness to cubic miles. 1.79 mi3 c) Which contains more water, Seneca Lake or Loch Ness? Seneca Lake 60. Lake Superior and Lake Tanganyika Lake Superior in North America contains 2903 cubic miles of water. Lake Tanganyika in Africa contains 18 750 cubic kilometers of water. a) Convert the volume of Lake Superior to cubic kilometers. 12 100.28 km3 b) Convert the volume of Lake Tanganyika to cubic miles. 4498.34 mi3 c) Which contains more water, Lake Superior or Lake Tanganyika? Lake Tanganyika Challenge Problems/Group Activities 61. Nursing Question The following question was selected from a nursing exam. In caring for a patient after delivery, you are to give 0.2 mg Ergotrate Maleate. The ampule is labeled grain/m . 1 300 How much would you draw and give? (60 mg 1 grain) = a) 15 cc b) 1.0 cc c) 0.5 cc d) 0.01 cc b) 62. U.S. Customary Units of Length The website OnlineConversion.com gives 16 units of length used in the U.S. customary system. It also gives their metric equivalent. Determine the metric equivalent of each of the following units of length to the nearest hundredth. a) 1 pica 4.23 mm b) 1 link 0.20 m c) 1 rod 5.03 m d) 1 league 4.83 km e) 1 fathom 1.83 m f) 1 nautical mile 1.85 km g) 1 furlong 201.17 m 63. Auto Engine The displacement of an automobile engine is measured in liters. A 2024 Chevrolet Camaro SS has a 6.2 engine. a) Determine the displacement of the engine in cubic centimeters. 6200 cc b) Determine the displacement of the engine in cubic inches. 378.35 in3 64. Canadian Gas Prices In Canada, gas prices are quoted in cents per liter. One day, a gas price sign showed a price of 164.2. This means that the gas price is 1.642 Canadian dollars per liter. On this same day, 1 Canadian dollar could be exchanged for 0.7500 U.S. dollars. a) What is the cost of 24.3 liters of gasoline in Canadian dollars? $39.90 b) What is the cost of 24.3 liters of gasoline in U.S. dollars? $29.93 c) Convert 24.3 liters to gallons. Round your answer to the nearest hundredths. 6.42 gallons d) Determine the cost per gallon, in U.S. dollars, of the gasoline sold in Canada. $4.66 per gallon Research Activity 65. Automotive Industry Do research on the use of the metric system in the automotive industry and write a report summarizing your findings. Possible items for discussion include engine volume, tire diameter, braking distance, fuel economy, power output, top speed, and turning radius.

RkJQdWJsaXNoZXIy NjM5ODQ=