Dimensional Analysis

All students will highly benefit by working out the factor-label method for each of these problems in your notebook and then checking the answers after you have completed.

(Move your cursor over the box to illuminate the answer!)
(1in =2.54 cm)

1.) 230 kL = ___ cc
230,000,000 cc

2.) .57 hm = ___ dm
570 dm

3.) 423 kg = ___ mg
423,000,000 mg

4.) 4 m3 = ___ cc
4,000,000 cc

5.) 92 mL = ___ cm3
92 cm

6.) 22 dam = ___ dm
2200 dm

7.) 878 cg = ___ g
8.78 g

8.) 42 g/mL = ___ kg/L
42 kg/L

9.) 37 days = ___ min
53,280 min

10.) 2 deka dozen = ___ eggs
240 eggs

11.) 5432 mm3 = ___ dam3
5.432 x 10-9 dam3

12.) 67 m/s = ___ mm/hr
2.4 x 108 mm/hr

13.) 56 Hm/year = ___ m/hr
.64 m/hr

14.) 62 dm3 = ___ cc
62,000 cc

15.) 81 mm3 = ___ dm3
8.1 x 10-5 dm3

16.) 25 centuries = ___ days
912,500 days

17.) 32 mg/L = ___ g/mL
3.2 x 10-5 g/mL

18.) 90 kg/HL = ___ g/cm3
.9 g/cm3

19.) 54 cm/day = ___ m/min
3.8 x 10-4 m/min

20.) .987 dm3 = ___ mL
987 mL

21.) .489 hg = ___ kg
.0489 kg

22.) 17 dm3 = ___hL
.017 hL

23.) 1.5 kL = ___ mm3
1.5 x 109 mm3

24.) 27.3 miles = ___ yards
48,048 yards

25.) 1 football field = ___ mm
91,400 mm

26.) 2798 mm = ___ miles
.00174 miles

27.) 12 in =___ cm
3.0 x 101 cm

28.) 42 dam3 = ___ mL
4.2 x 1010 mL

29.) .0398 hm3 = ___ dam3
39.8 dam3

30.) 74 in/s = ___ mm/hr
6.8 x 106 mm/hr

31.) 1.00 x 102 mph = ___ m/s
44.7 m/s

32.) 55 mph = ___ km/hr
89 km/hr

33.) 1.00 mile = ___ km
1.61 km

34.) 49876 mm3 = ___ dm3
4.9876 x 10-2 dm3

35.) 22 km3 = ___ hm3
22,000 hm3

36.) 45 kg/cc = ___ hg/L
450,000 hg/L

37.) 67 mg/mm3 = ___ g/mL
67 g/mL

38.) 10.0 m/s = ___ feet/sec
32.8 feet/sec

39.) 38.4 cg/mL = ___ dg/cL
38.4 dg/cL

40.) 467 kL = ___ mL
467,000,000 mL