Dimensional Analysis #1 – extra practice – without metrics
Directions: Use dimensional analysis to convert the units below. Copy the problem into your spiral. Show your
set up and cancellation to get credit.
2.54cm = 1 inch
1 mile = 5280 feet
237mL = 1 cup
454g = 1 pound
16 ounces = 1 pound
1 calorie = 4.18 Joules
1 mL = 1 cm3
1 T = 15mL
1 food calories = 1,000 calories 100cm = 1 m
CONVERT:
a. 795g to pounds
b. 525mL to cups
c. 9.00 T to mL
d. 25.0 gallons to mL (16 cups = 1 gallon)
e. 39cm to feet
f. 755m to miles
g. 654 Joules to food calories
Dimensional Analysis #2 - extra practice – with metrics
Directions: Use dimensional analysis to convert the units below. Copy the problem into your spiral. Show your
set up and cancellation to get credit.
2.54cm = 1 inch
237mL = 1 cup
16 ounces = 1 pound
1 mL = 1 cm3
16 cups = 1 gallon
1 mile = 5280 feet
454g = 1 pound
3 feet = 1 yard
1 T = 15mL
1,000,000 micro _____ = 1 _______
1,000 milli _____ = 1 _______
100 centi _____ = 1 _______
10 deci _____ = 1 _______
0.001 kilo ______ = 1______
a. There are 355mL of diet pepsi in a can. How many cups is this?
b. My car has a 14.0 gallon tank. How many liters of gasoline will it hold?
a. Find the weight, in pounds, of 15,342dg of flour.
d. Convert 3.54 km to miles.
e. A student with a learner’s permit must have a minimum of six months of supervised practice driving
before obtaining a provisional license. How many hours is this? (assume that 1 month = 30 days).
f. A new born baby weighs 3.180kg. How many ounces does he weigh? (1 pound = 16 ounces)
g. How many meters does a student run in a “500 yard dash”?
Dimensional Analysis #1 - KEY
Directions: Use dimensional analysis to convert the units below. Copy the problem into your spiral. Show your
set up and cancellation to get credit.
2.54cm = 1 inch
1 mile = 5280 feet
237mL = 1 cup
454g = 1 pound
16 ounces = 1 pound
1 calorie = 4.18 Joules
1 mL = 1 cm3
1 T = 15mL
1 food calories = 1,000 calories 100cm = 1 m
CONVERT:
a. 795g to pounds
795 g
1 lb
= 1.75 lbs.
454 g
b. 525mL to cups
525 mL
1 cup = 2.22 cups
237 mL
c.
9.00 T to mL
9.00 T
15 mL
=
135 mL
1T
d.
25.0 gallons to mL (16 cups = 1 gallon)
25.0 gallons 16 cups
237mL
1 gallon
1 cup
1 in
1 foot =
2.54 cm
12 in
= 94,800 mL
e. 39cm to feet
39 cm
f.
1.3 ft
755m to miles
755 m
100cm
1 in
1 ft
1 mile
1m
2.54 cm
12 in 5280 ft
= 0.469 miles
Dimensional Analysis #2 - KEY
Directions: Use dimensional analysis to convert the units below. Copy the problem into your spiral. Show your
set up and cancellation to get credit.
2.54cm = 1 inch
237mL = 1 cup
16 ounces = 1 pound
1 mL = 1 cm3
16 cups = 1 gallon
1 mile = 5280 feet
454g = 1 pound
3 feet = 1 yard
1 T = 15mL
1,000,000 micro _____ = 1 _______
1,000 milli _____ = 1 _______
100 centi _____ = 1 _______
10 deci _____ = 1 _______
1 kilo ______ = 1,000 ______
a. There are 355mL of diet pepsi in a can. How many cups is this?
355mL
1 cup =
1.50 cups
237mL
b. My car has a 14.0 gallon tank. How many liters of gasoline will it hold?
14.0 gallons
16 cups
237mL
1L
=
1 gallon
1 cup
1000mL
53.1 L
b. Find the weight, in pounds, of 15,342dg of flour.
15,342dg
1g
1 lb
=
3.3793 lbs.
10dg 454 g
c. Convert 3.54 km to miles.
3.54 km
102 cm
in
1 ft
10-3 km
2.54 cm
12 in 5280 ft
1 mile
= 2.20 miles
d. A student with a learner’s permit must have a minimum of six months of supervised practice driving
before obtaining a provisional license. How many hours is this? (assume that 1 month = 30 days).
6 months
30 days
24 hours
1 month
1 day
= 4320 hours
e. A new born baby weighs 3.180kg. How many ounces does he weigh? (1 pound = 16 ounces)
3.180kg
1g
1 lb
16 oz
10-3kg
454 g
1 lb
= 112.1oz
f. How many meters does a student run in a “5Ō0 yard dash”?
500yd
3 ft
12 in
2.54cm
1m
1 yd
1 ft
1 in
100cm
=
460m