Dimensional Analysis

Master unit conversions with our Dimensional Analysis Worksheet!

Write the correct conversion factors you would use to solve each problem. You will solve for the problems in the next part. (First blank is for the number, second blank is for the unit) 1) 25.6 mL = ? L 1 L ------------------------- 1,000 mL2) 0.781 g = ? dg10 dg ------------------------- 1 g3) 1,274 Mm = ? m1,000,000 m ------------------------- 1 Mm4) 13 L = ? daL1 daL ------------------------- 10 L5) 564 m = ? hm1 hm ------------------------- 100 m Solve each problem. Use the conversion factors that you made above. 1) 25.6 mL = 0.0256 L2) 0.781 g = 7.81 dg3) 1,274 Mm = 1.274x10^9 m4) 13 L = 1.3 daL5) 564 m = 5.64 hm Put the answer to each question below in the given blanks. Round each answer to 3 significant figures. 1) How many ounces are in 5.00 g? (28.35 g = 1 ounce)Answer = 0.176 ounces2) The volume of a soft drink is 3.0 fl oz (fluid ounces). What is the volume in liters? (0.030 L = 1 fl oz)Answer = 0.0900 L3) A box of cereal weighs 30.04 g. What does it weigh in ounces? (28.35 g = 1 ounce)Answer = 1.06 ounces4) A soccer ball has a circumference of 27 inches and a mass of 14 ounces. What are these measurements in cm and g? (1 inch = 2.54 cm)Answer (circumference) = 68.6 cmAnswer (mass) = 397 g5) How many mL are in a 12 fl oz soda can?Answer = 360 mL6) A barrel of oil is exactly 42 gal. How many liters of oil are in the barrel? (1 gal = 3.785 L)Answer = 159 L7) The men's world record jump is 29.45 feet. What is this in meters?Answer = 8.98 m8) The greatest depth in the ocean is about 6.5 miles. What is this in hectometers? (1.609 km = 1 mi)Answer = 1.05 hm9) In a recent Grand Prix, the winner completed the race with an average speed of 229.8 km What was the speed in miles per hour (Answer 1), meters per second (Answer 2), and feet per second (Answer 3)?Answer 1 = 143 mi 2 = 63.8 m 3 = 209 ft