Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key (Page 2 of 8) in pdf

Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key Page 2

Example 1

165 cm = _______ inches. (Use the conversion equation, 2.54 cm = 1 inch.)

Step 1: Write the quantity you are trying to convert as a fraction. That is, write 165cm as

Step 2: Decide by which conversion factor you need to multiply the above fraction in order

to eliminate the “cm” from the numerator. In this problem, the conversion equation

relating centimeters and inches is given above. Note that from each conversion

equation, you get two possible conversion factors. You task is to decide which one

is the appropriate one to use. In this case you have to choose between

(

Which one should you use and why?

Step 3: Multiply

by the conversion factor you chose in Step 2. Cancel the unwanted

unit and note that you are left with the unit that you needed to obtain. Now simply

evaluate the operation as follows.

So, the final answer is 64.96 inches. Do not forget to give the correct units with

your final answer!

Try this! (Round your answer to two decimal places if necessary.)

a. 55 kg = _______ pounds

b. 50 liters = _______ gallons

(Use 1 pound = 0.4536 kg)

(Use 1 gallon = 3.7854 liters)

Answer:

a. 125.25 pounds

b. 13.21 gallons

Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key Page 2