Dimensional Analysis Worksheet #1
Conversion Practice
Objectives: To correctly convert between units of the metric system and English system using dimensional analysis.
Comparing Units: Circle the larger unit in each pair of units.
1. milliliter or kiloliter 4. centimeter or millimeter
2. decimeter or megameter 5. nanogram or kilogram
3. picogram or decigram 6. microliter or milliliter
English and Metric Conversions: Use dimensional analysis to convert each of the following. Show all work, units, and round answer correctly. Write your final answer on the blank provided.
7. 16 in = ____41____ cm 16 in x 2.54 cm = 40.64
1 in
8. 56 g = ____2.0____ oz 56 g x 1 oz = 1.975 oz
28.35 g
10. 450 km = ____280___ mi 450 km x 1 mi = 279.7 mi
1.609 km
11. 1200 mL = ____41____ fl. oz. (hint: one fluid ounce (fl. oz.) = 29.57 mL)
1200 mL x 1 fl.oz = 40.58 fl oz
29.57 mL
12. 40 m = ____100___ ft 40 m x 3.281 ft = 131.24 ft
1 m
13. 4 gal = _____20___ L 4 gal x 1 L = 15.15 L
0.264 gal
14. Penny has a pencil that is 19 cm long. How long is the pencil in inches?
19 cm x 1 in = 7.48 in à 7.5 in
2.54 cm
15. Macho Mel can lift 200 kilograms with ease. How much is this in pounds?
200 kg x 2.2 lbs = 440 lbs à 400 lbs
1 kg
16. The distance between Happyville and Giggleland is 60 miles. How far is this in kilometers?
60 mi x 1.609 km = 96.54 km à 100 km
1 mi
17. A cookie recipe calls for 1 pound of butter. How many grams of butter would be needed for 3 batches?
3 x 1 lb = 3 lbs x 453.59 g = 1360.77 g à 1000 g
1 lb
Metric Conversions: Use dimensional analysis to convert each of the following. Show all work, units, and round answer correctly. Write your final answer on the blank provided.
18. 8700 mL = ____8.7____ L 8700 mL x 1 L = 8.7 L
103 mL
19. 25 mg = ____0.025___ g 25 mg x 1 g = 0.025 g
103 mg
21. 250 mL = _____0.25___ L 250 mL x 1 L = 0.25 L
103 mL
22. 3.68 kg = ____3680____ g 3.68 kg x 1 g = 3680 g
10-3 kg
23. 568 cm = ____5.68____ m 568 cm x 1 m = 5.68 m
102 cm
24. 0.101 cm = ____1.01____ mm 0.101 cm x 1 m x 103 mm = 1.01 mm
102 cm 1 m
Word Problems
Show all work and box in final answers. Explanations do not need to be in complete sentences, but should be thorough.
25. One cereal bar has a mass of 37 g. What is the mass of 6 cereal bars? Is that more than or less than 1kg? Explain.
6 x 37 = 222 g x 10-3 kg = 0.222 kg which is less than 1 kg
1 g
26. Wanda needs to move 110 kg of rocks. She can carry 10 hg each trip. How many trips must she make? Explain.
110 kg x 1 g x 10-2 hg = 1100 hg ÷ 10 hg = 110 trips
10-3 kg 1g
27. Dr. O is playing in her garden again. She needs 1 kg of potting soil for her plants. She has 750 g. How much more does she need?
1 kg x 1 g = 1000 g – 750 g = 250 g
10-3 kg
28. Weather satellites orbit Earth at an altitude of 1,400,000 meters. What is this altitude in kilometers?
1,400,000 m x 10-3 km = 1400 km
1 m
29. A dollar bill is 15.6 cm long. If 200 dollar bills were laid end to end, how many meters long would the line be?
200 x 15.6 cm = 3120 cm x 1 m = 31.2 m
102 cm
30. The ceiling in Jan’s living room is 2.5 m high. She has a hanging lamp that hangs down 41 cm.
Her husband is exactly 2 m tall. Will he hit his head on the hanging lamp? Why or why not?
41 cm x 1 m = 0.42 m 2.5 – 0.42 = 2.08 m No, he will have 0.08 m of clearance
102 cm