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MeasurementLesson #3: Measurement Conversions
Measurement Lesson #3:
Measurement Conversions
When measuring, all schools in Canada use the _________________ system (all the measurements are factors
of ______________). However, in most trades, they still use the ____________________ system. Therefore, it
is important to know how to convert in each system, and between each system. The conversion table shown
below will help you do this.
When Converting Measurements, you make you just follow the steps outlined below:
Question: Convert 5 miles into kilometres.
1. Start with what you have, and write the question in this form
5 miles 
2. Put the units that you are starting with on the bottom of the conversion factor (the fraction)
5 miles 
miles
3. Now look on your formula sheet for the conversion factor with the units you are starting with and the
units you would like to end up with. The units you would like to end up with goes on the top.
1.6093 km
5 miles 

1 miles
4. Now multiply the numbers on the top and divide by the number on the bottom.
5 miles 
1.6093 km
 8.0465 km
1 mile
Convert the following measurements:
a. 60 quarts = ? gallons
b. 27 yards = ? meters
c. 800 g = ? ounces
d. 120 000 feet = ? miles
MeasurementLesson #3: Measurement Conversions
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Sometimes, you need to convert more than one time in order to get to the measurement you want. For example,
To convert from yards to centimetres, there is no conversion. So, you need to convert from yards to
______________________, (_________ = _____________). Then, convert from
______________________ to _______________________ (_______________ = ________________).
Is there another way to do this conversion? _______________________________________________________
__________________________________________________________________________________________
Convert the following measurements:
a. 38 quarts = ? Liters
b. 1 ton = ? tonnes
Finally, sometimes you want to find out an area or volume conversion rather than just measurement
conversions.
o To do this, just ________________ the conversion for area, and __________________ the conversion
for volume.
For example, since
1 yard = 3 feet,
1 yard2 = ___________ feet 2
Convert the following measurements:
a. 25 feet2 = ? meters2
b. 5 yards3 = ? meters3
Which is longer: 3 feet, or 86 cm?
Which weighs more: 25 pounds, or 11.5 kg?
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MeasurementLesson #3: Measurement Conversions
Assignment:
1. Convert the following measurements using the indicated units. You must show the ratio.
a) 5 feet 6 inches = ? inches
b) 14 yards = ? feet
c) 5 000 pounds = ? tons
d) 1.35 km = ? meters
g) 78 ounces = ? grams
e) 27 L = ? gallons
f) 5280 yards = ? miles
h) 68 pints = ? gallons
2. Convert the following measurements using the indicated units.
a) 3 tonnes = ? pounds
b) 27 cm = ? feet
c) 5 gallons = ? mL
d) 150 L = ? pints
f) 35 mm = ? feet
e) 3 yards = ? cm
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MeasurementLesson #3: Measurement Conversions
3. Convert the following into the indicated units:
a) 25 cm2 = ? inches2
b) 750 mm2 = ? cm2
c) 13 yards2 = ? feet2
d) 25 km2 = ? miles2
f) 14 feet3 = ? inches2
e) 35 mm3 = ? cm3
4) A football field is 110 yards long measured from goal post to goal post. A rugby field is 100 m long. Which
field is longer?
5) An apprentice jockey must have a mass less than 130 pounds. Brittney has a mass of 65 kg. Is she eligible
for this job? Justify your answer.
6) The doorway to Jai’s office is 2 feet 8 inches wide. He wishes to purchase a desk 80 cm wide. Can the desk
pass through his office doorway?
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MeasurementLesson #3: Measurement Conversions
7) Which is the better buy for T-bone steak: $6.98/lb or $14.98/kg?
8) The radius of the earth is 6 400 m. How many feet is this?
9) Lake Superior has an area of 317 000 miles2. What is the area in km2
10) The living room of an apartment has dimensions 14 feet by 18 feet and the dining room has dimensions 13
feet by 9 feet. Determine:
a) the total area of the two rooms in feet2
b) find the total area of the two rooms in yards2
c) the cost of carpeting both rooms at $26.50 per square yard
d) the cost of carpeting both rooms at
$29.99/m2
e) Suppose both carpets are of the same quality. Which is the better buy and by how much?
Answer Key:
1a) 66 1b) 42 1c) 25 1d) 1 350 1e) 5.9 1f) 3 1g) 2.75 1h) 8.5 2a) 6 607.9 2b) 5.7 2c) 22 730
2d) 264.0 2e) 274.3 2f) 0.11 3a) 3.9 3b) 7.5 3c) 117 3d) 9.7 3e) 0.035 3f) 24192
4) foot ball field by 0.5 m 5) yes by 6kg 6) yes by 1.3cm 7) $14.98/kg is better by $0.39/kg 8) 20 997.4
9) 820 675.3 10a) 369 10b) 41 10c) $1 086.50 10d) $1 124.34 10e) d) by $37.84