miles
1
mile
km
lb
16
oz
1
lb
gal
4
qts
1
gal
Dimensional Analysis Worksheet 2
Name: Answer Key
Period
Date
Use dimensional analysis (the “factor-label” method) to solve the following problems. Show all steps
needed to convert from starting units to ending units. Indicate all relationships needed before setting
up and solving the problem. Use any of the following relationships if needed:
1 mile = 1760 yds 16 oz = 1 lb 1 L = 1.06 qts 1 day = 24 hours
1 yd = 3 ft 2000 lbs = 1 ton 4 qts = 1 gal 1 hour = 60 mins
1 ft = 12 in 1 oz = 28.35 g 32 oz = 1 qt 1 min = 60 secs
1 mile = 1.61 km 1 kg = 2.2 lbs 1 qt = 2 pts
1.
A runner competed in a 5-mile run. How many yards did she run?
Relationship: 1 mile = 1760 yds
1760 yds
5
!
= 8800 yds
2.
In the Tour de France, cyclists ride 3,653.6 km over 20 days. How many miles do they go? [Hint:
watch for unimportant information!]
Relationship: 1 mile = 1.61 km
1 mile
3653.6
!
= 2269.3 mi
3.
After a nice meal, perhaps you’d finish it off with a pound cake for dessert. What would the name of
this cake be in grams?
Relationships: 1 lb = 16 oz; 1 oz = 28.35 g
28.35 g
1
! !
= 453.6 g (A “453.6-g cake”)
4.
In the US milk is sold by the gallon, while in Italy it is sold by the liter. How many liters of milk
would you need to equal one gallon?
Relationships: 1 L = 1.06 qts; 4 qts = 1 gal
1 L
1
! !
= 3.77 L
5.
If you go to school for 180 days each year and each day is 7 hours long, how many hours are spent
in school in one year?
Information: 1 day = 7 hours (only for school)
1 (school) year
!
7 hrs
1 day
=
1260 hrs
1 (school) year
Turn over!
1.61
km
1
oz
1.06
qt
180
days
