Unit Conversion and Calculation Practice with Length, Mass, Volume, and Density
Practice various unit conversions and calculations involving length, mass, volume, and density using conversion factors such as inches to centimeters, pounds to kilograms, and quarts to liters. Solve problems like converting marathon distance from miles to kilometers, determining mass in kilograms from pounds, finding the volume of a gallon in liters, converting feet to millimeters, and expressing volume in cubic feet units.
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Section 1.3 Problems Length 1 centimeter = 2.54 inches (exactly) 1 meter = 39.4 inches = 3.28 feet = 1.09 yards 1 kilometer = 0.621 miles 1 gram = 0.0353 ounces 1 kilogram = 2.20 pounds 1 milliliter = 0.0338 fluid ounces 1 liter = 2.11 pints = 1.06 quarts Mass Volume Question 1 A marathon road race has a distance of 26.2 miles. What is this distance expressed in kilometers? _____ km
Length 1 centimeter = 2.54 inches (exactly) 1 meter = 39.4 inches = 3.28 feet = 1.09 yards 1 kilometer = 0.621 miles 1 gram = 0.0353 ounces 1 kilogram = 2.20 pounds 1 milliliter = 0.0338 fluid ounces 1 liter = 2.11 pints = 1.06 quarts Mass Volume Question 2 A person weighs themselves and finds they weigh 152 lbs. What is their mass in kilograms? _____ kg
Length 1 centimeter = 2.54 inches (exactly) 1 meter = 39.4 inches = 3.28 feet = 1.09 yards 1 kilometer = 0.621 miles 1 gram = 0.0353 ounces 1 kilogram = 2.20 pounds 1 milliliter = 0.0338 fluid ounces 1 liter = 2.11 pints = 1.06 quarts Mass Volume Question 3 A conversion factor is given relating volume in liters to volume in quarts. Given that a gallon contains four quartz, what is the volume of one gallon expressed in units of liters? _____ L
Length 1 centimeter = 2.54 inches (exactly) 1 meter = 39.4 inches = 3.28 feet = 1.09 yards 1 kilometer = 0.621 miles 1 gram = 0.0353 ounces 1 kilogram = 2.20 pounds 1 milliliter = 0.0338 fluid ounces 1 liter = 2.11 pints = 1.06 quarts Mass Volume Question 4 Sometimes these conversions need to be combined with a metric unit conversion. What is a distance of 12.6 ft, expressed in units of millimeters? _____ mm
Length 1 centimeter = 2.54 inches (exactly) 1 meter = 39.4 inches = 3.28 feet = 1.09 yards 1 kilometer = 0.621 miles 1 gram = 0.0353 ounces 1 kilogram = 2.20 pounds 1 milliliter = 0.0338 fluid ounces 1 liter = 2.11 pints = 1.06 quarts Mass Volume Question 5 Sometimes the value desired has different dimensions than the simple unit conversions found in the table. Convert the volume 3.51 m3to units of cubic feet. _____ ft3
