Conversion Sheet

 

Problem Set #1

Use the Factor Label Method, Do not just give answers. Circle your answers.
1. Convert 14mm to its equivalent measurement in m.
2. Convert 35 kg to its equivalent measurement in g.
3. Convert 57 mL to its equivalent measurement in L.
4. Convert 15.9 mm to its equivalent measurement in km.
5. Convert .0982 hg to its equivalent measurement in kg.
6. Convert 143.55 mL to its equivalent measurement in pts.
7. Convert 83 cm into meters.
8. Which is the smaller mass, 285.0 cg or 23.78 dg?

 

 

 

Problem Set #2

Use the Factor Label Method, Do not just give answers. Circle your answers.
1. The length of a newborn baby is 19.0 in. what is the length of the baby in links?
2. How many yards are in 15 feet?
3. You need 3.5qt of oil of your car. How many gallons is this?
4. A neclace contains 2.6oz of gold. How many pounds is this?
5. You ran a total of 2.4 miles today. How far did you run in km? In feet?
6. A student's height is 175cm. How tall is the student in feet?
7. A cooler has a volume of 5500mL, what is the capacity in liters?
8. A container holds 0.750 qts, how many mL is this?
9. What is the mass in kg of a person who weighs 165 lb?
10. You have used 250 L of distilled water for a dialysis patient. How many gallons of water is this?

 

 

 Problem Set #3

1)) Convert 10 rods to furlongs

2) Convert 15 tons to kilograms (kg)

3) Convert 2640 feet (ft) to meters (m)

4) Convert 3 gallons (gal) to milliliters (mL)

5) Convert 15,000 grams (g) to tons

6) Convert 2 hectometers (hm) to furlongs

7) Convert 5 quarts (qt) to cubic centimeters (cm3)

8) Convert 15 miles per hour (mi/h) to centimeters per second (cm/s)

 

 Problem Set #4

 
1. Convert the following values to Celsius.

 
78 ° F 41 ° F 66 ° F 80 ° F

answers (26° C, 5° C, 19° C, 27° C)

2. Convert the following values to Fahrenheit.

 
18 ° C 25 ° C 3 ° C 33 ° C

answers (64° F, 77° F, 37° F, 91° F)

3. Convert the following values to miles per hour.

 
20 knots 45 knots 70 knots

answers( 23 mph, 52 mph, 81 mph)

4. Convert the following values to knots.

 
16 miles per hour 167 miles per hour 57 miles per hour

answers (13.9 knots, 145 knots, 50 knots)

5. Convert the following values to meters per second.

 
90 knots 78 knots 100 knots

answers (45 m/s, 39 m/s, 50 m/s)

6. Convert the following values to miles.

 
67 kilometers 100 kilometers 34 kilometers

answers (42 miles, 62 miles, 21 miles)

7. Convert the following values to kilometers

 
245 miles 45 miles 78 miles

answers (395 km, 73 km, 126 km)
 

 Problem Set #5

Practice Problems on Unit Conversion

Using Dimensional Analysis (Factor Label Method)

 

These are practice problems.  It is assumed that you have already been introduced to the method of “dimensional analysis.”  Answers are provided at the end of this document.  You should look at the question, work it out on paper (not in your head), before checking the answers at the end. 


The purpose of these problems is not merely to get the right answer, but to practice writing out the dimensional analysis setup.  We will be using this method all semester and I will be asking for your setups, so don’t just work out an answer on your calculator without writing out a setup.

 

In these practice problems, I am going to ask you to stick to ONLY the following conversions between the English and metric system (these are the only conversions that I will give you on exams).  In some cases you can look up conversions elsewhere, but I would rather you didn’t.  I want you to learn how t o make conversions that take more than one single step.

 

1 inch = 2.54 cm   1 lb = 454 g  1 qt = 0.946 L

1 mi = 5280 ft      1 qt = 2 pt      4qt = 1 gal

 

You should also remember that 1 cc = 1 cm  = 1 mL exactly.  (This is a conversion you need to know.)

 

For all problems, please show your dimensional analysis setup and give your answer to the correct significant figures.   Remember you can use any of the conversions shown above.

 

1.    Convert 3598 grams into pounds.

2.    Convert 231 grams into ounces.

3.    A beaker contains 578 mL of water.  What is the volume in quarts?

4.    How many ng are there in 5.27x10-13  kg?

5.    What is 7.86 x 10-2  kL in dL?

6.    What is 0.0032 gallons in cL?

7.    A box measures 3.12 ft in length, 0.0455 yd in width and 7.87 inches in height.  What is its volume in cubic centimeters?

8.    A block occupies 0.2587 ft3.  What is its volume in mm3 ?  

9.    If you are going 55 mph, what is your speed in nm per second?

10.   If the density of an object is 2.87 x 10-4 lbs/cubic inch, what is its density in g/mL?

 

Answers to this section at: http://student.ccbcmd.edu/~cyau1/121PractProbOnUnitConversionSp2005.pdf