Questions And Verified Answers
1. 12 inches: 1 foot
2. 2 pints(pt): 1 quart(qt)
3. 16 ounces(oz): 1 pound(lb)
4. Dimensional Analysis: Concept 1) when a nonzero entity is divided by the same amount the answer is
1. EX 1 week/1 week=1 or 7 days/1week =1 (equivalency)
Concept 2) when a quantity is multiplied by 1 the quantity is unchanged EX (2 weeks) X (1) X (7/7) X (7 days/7days)
X (7 days/1 week)
5. 1 step problems with Single units of measurements: Work has to be shown. Set up 18
months=? years
18 year/1 X 1 year/12 months. Multiply by the 2nd of the unit of fractions so that months is in the denominator of
one and in the numerator of the other. The unit you want to find must always be in the numerator(top) of the fraction
6. Change 2 1/4 hours into an equivalent amount of time in minutes. Showing
work: 2 1/4 hours = ? minutes
60 minutes=1 hour
9hours/4 x 60min/1hour
Cancel the units
9/4 X 60minutes/1= 135 minutes
7. Convert 6 pounds 5 oz to weight in oz: 6 lbs + 5 oz
1 lb=60 oz
6 lbs/1 x 16 oz/1 lb
Cancel lbs
= 96 oz
96 oz + 5 oz
8. Water is flowing from a hose at the rate of 1.2 pints per second. Convert to
an equivalent flow rate measured in quarts per minute.: 1.2 pints/sec Find quarts/min
1.2 pts/sec=?quarts/min
Neither match(pt, qt) so use an equivalent unit fraction. Use 1 qt/2pints
1.2 pt/sec X 1 qt/2 pt= ? qt/min
1/8
, qt is on top but sec is on bottom and must be cancelled so use 60 sec/1 min
1.2pt/sec X 1qt/2pt X 60sec/1 min=
cancel pt. cancel sec. reduce 2 and 60.
=36 qt/min
2/8