Monday, September 14, 2015

Dimensional Analysis Worksheet

1. 5400 inches into miles.

5400 inches x 1 foot       x 1 mile     = 0.085 miles
                       12 inches     5280 ft  .

2. 16 Weeks into seconds

16 weeks x 7 Days  x  24 hours   x 60 minutes  x 60 seconds    = 9,676,800 seconds
                   1 week      1 day            1 hour             1 minute

3.  54 yards in mm

54 yards x 3 feet   x 12 inches x 2.54 cm  x 10 mm  = 49,377 mm
                 1 yard       1 foot         1  inch        1 cm

4. 36 cm/sec. into miles/hour

36 cm x 1 inch    x  1 foot        x 1 mile     x 60 sec.  x  60 min   = .81 miles/hr.
 sec.      2.54 cm      12 inches     5280 ft.      1 min.       1 hr.

5. 1.09 g/ml into lbs./gallon

1.09 g x 1 lb.    x 946ml  x 4 qts. = 9.08 lbs./gal.
  ml        454 g     1 qt.        1 gal.

6.

15 people x 4 slices   x 1 pizza    x $14.78   = $73.90
                    1 person    12 slices     1 pizza

7.

28 students x 3 pens      x 1 package x $1.44         = $15.12
                      1 student     8 pens          1 package

8.  13,406,190 pennies x 1 dollar          = $134, 061.90
                                         100 pennies

13,406,190 pennies x 4 grams   x 1 pound     = 118,116.211 lbs.
                                    1 penny      454 grams

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