Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key (Page 3 of 8) in pdf

Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key Page 3

For the next example, let’s consider something just a bit more involved.

Example 2

165 cm = _______ feet?

Note that this problem is asking for feet in the final answer. So, in addition to the

conversion equation we used in Example 1, use 1 foot = 12 inches.

This is an example of a multiple-step problem. In the first example, we converted

centimeters to inches in one step.

If we stop here; however, your final answer will be in inches. This isn’t what you want.

Now you need to take one more step to go from inches to feet. (Note! Every time you

multiply by a conversion factor, cancel the unwanted unit at each step in order to keep

track of where you are in the process.)

The final answer is 5.41 feet.

Try this! (Round your answer to the nearest tenth if necessary.)

a. 55 kg = _______ ounces

b. 250 liters = _______ quarts

(1 pound = 0.4536 kg, 1 pound = 16 oz.)

(1 gal = 3.7854 liters, 1 gal = 4 quarts)

Answer:

b. 1940.0 ounces

b. 52.8 quarts

Some units such as square feet or cubic meters incorporate arithmetical operations. For instance,

“cubic meters” means “

”. How can we covert these units using

conversion factors? To see how this is done, consider the following example.

Math 98 Supplement 2 - Dimensional Analysis Worksheet With Answer Key Page 3