Dimensional Analysis Practice
A Grade 11 science worksheet focusing on dimensional analysis, unit conversions, and problem-solving.
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Standards
Dimensional Analysis Practice
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Read each question carefully and use dimensional analysis to solve the problems. Show all your work, including conversion factors and unit cancellations. Round your final answers to the appropriate number of significant figures.
1. Dimensional analysis is a problem-solving method that uses the fact that any number can be multiplied by one without changing its value. This 'one' is represented by a .
2. When performing dimensional analysis, units that appear in both the numerator and the denominator will .
3. The SI unit for mass is , and for length it is .
4. Convert 35.5 meters to kilometers.
5. A car travels at a speed of 60 miles per hour. Convert this speed to meters per second. (1 mile = 1.609 km)
6. Which of the following is equivalent to 500 milliliters?
0.05 L
5 L
0.5 L
50 L
7. How many seconds are in 2.5 days?
216,000 s
60,000 s
86,400 s
2,500 s
8. A patient needs to receive 1.5 grams of medication. The medication is available in a solution with a concentration of 250 mg/5 mL. How many milliliters of the solution should be administered?
9. The density of gold is 19.3 g/cm³. What is the volume, in liters, of a gold bar that has a mass of 1.00 kg?
10. In dimensional analysis, the order of conversion factors does not affect the final answer, as long as the units cancel correctly.
True
False