Dimensional Analysis Worksheet

Dimensional Analysis Practice

Read each question carefully and use dimensional analysis to solve the problems. Show all your work, including the conversion factors you use.

1. Dimensional analysis is a method used to convert from one unit to  .

2. A   factor is a ratio of equivalent measurements.

3. When setting up a dimensional analysis problem, the units you want to cancel out should be placed in the   of the conversion factor.

4. Convert 5 meters to centimeters. (Hint: 1 meter = 100 centimeters)

5. How many minutes are in 3 hours? (Hint: 1 hour = 60 minutes)

6. A car travels at a speed of 60 kilometers per hour. Convert this speed to meters per second. (Hint: 1 km = 1000 m, 1 hour = 3600 seconds)

7. Dimensional analysis can only be used for converting units of length.

8. A conversion factor is always equal to 1.

9. Which of the following is a correct conversion factor for converting feet to inches?

10. If you want to convert grams to kilograms, which conversion factor would you use?

11. A recipe calls for 2.5 cups of flour. If 1 cup is approximately 240 milliliters, and 1 liter is 1000 milliliters, how many liters of flour are needed?

These tools are used for various measurements. Dimensional analysis helps us convert between different units they might display.