Due: ___________________
Corrections Needed:
Name: ___________________________
Math 60: Unit Analysis
Where to look in your ALEKS pie: In the “Measurement, Data, and Probability” slice, look at the
objectives that mention “conversion”; in particular, focus on “Converting between compound units:
Basic” and “Converting between compound units: Advanced”.
Directions: Using only the conversion factors below, perform each conversion (you won't need to use all
of them). Show your work and circle your answers, which should include the correct units. Round your
answers to the nearest tenth unless told otherwise.
DISTANCE:
WEIGHT:
VOLUME:
TIME:
1.61 km ≈ 1 mile
1 gram = 1000 mg
4 quarts = 1 gal.
1 hour = 60 minutes
1000 meters = 1 km
1 kg = 1000 grams
2 pints = 1 quart
24 hours = 1 day
100 cm = 1 meter
1 pound = 16 ounces
1 pint = 16 ounces
365 days = 1 year
2.54 cm ≈ 1 inch
1 ton = 2000 pounds
2 cups = 1 pint
52 weeks = 1 year
12 inches = 1 foot
1 kg ≈ 2.2 pounds
8 ounces = 1 cup
7 days = 1 week
3 feet = 1 yard
1 cup = 16 tablespoons
1 minute = 60 seconds
5280 feet = 1 mile
1 tablespoon = 3 teaspoons
1 liter ≈ 1.06 quarts
MONEY:
1 ft3 = 1728 in3
$1.00 = 0.69 € (Euro)
1 yd3 = 27 ft3
1 £ (Pound) = $1.62
264.2 gallons ≈ 1 m3
1 milliliter = 1 cm3 (cc)
Exercise 1:
How many kilometers (km) are there in 26.2 miles?
Exercise 2:
A pool holds 10,000 gallons of water. How many cubic meters is this?
Exercise 3:
Our class meets for 50 minutes, 5 days a week, for 11 weeks (minus 4 holidays). How
many seconds do we meet?
Exercise 4:
Convert 75 km per hour into miles per hour.
Exercise 5:
Convert 50 miles per hour into feet per second.
Exercise 6:
You have $500 and want to know how many British Pounds (£) that would be. Round to
the nearest hundredth.
Exercise 7:
You have 200 Euros (€) and want to know how many dollars that would be. Round to
the nearest cent.
Exercise 8:
Coffee is sold at a store for $7.26 for a 3 lb. bag or $5.42 for a 1 kg bag. Which is a
better buy and explain why according to your calculations?
Exercise 9:
You measure a sandbox and it has a height of 1.5 ft, a width of 3 ft and a length of 5 ft.
How many cubic yards of sand can it hold?
Exercise 10:
A nurse is required to administer 1.5 mg of medicine per kg of patient’s weight every
four hours. If the patient weighs 210 pounds, how many mg of medicine will be administered over a 24hour period?
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