Section 8.4 Conversions to and from the metric system.
The following information will be useful.
Length
1 inch (in) = 2.54 centimeters (cm)
1 foot (ft) = 30 centimeters (cm)
1 yard (yd) = 0.9 meters (m)
1 mile (mi) = 1.6 kilometers (km)
Area
1 square inch (in2) = 6.5 square centimeters (cm2)
1 square foot (ft2) = 0.09 square meters (m2)
1 square yard (yd2) = 0.8 square meters (m2)
1 square mile (mi2) = 2.6 square kilometers (km2)
1 acre = 0.4 hectare (ha)
Volume
1 teaspoon (tsp) = 5 milliliters (ml)
1 tablespoon (tbsp.) = 15 milliliters (ml)
1 fluid ounce = 30 milliliters (ml)
1 cup (c) = 0.24 liter (l)
1 pint (pt) = 0.46 liter (l)
1 quart (qt) = 0.95 liter (l)
1 gallon (gal) = 3.8 liters (l)
1 cubic foot (ft3) = 0.03 cubic meter (m3)
1 cubic yard (yd3) = 0.76 cubic meter (m3)
Weight (mass)
1 ounce (oz) = 28 grams (g)
1 pound (lb) = 0.45 kilogram (kg)
1 ton (T) = 0.9 tonne (t)
For each of the equations above we can create a fraction
whose value is 1.
1inch
2.54 cm
Since 1 inch = 2.54 centimeters then 2.54
 1 and
1.
cm
1inch
Similar fractions having unit value can be created for the
other ones.
Use “unit multipliers” to convert the quantity to the
indicated units. Show your work and round your answer
to the nearest hundredth when appropriate. These are
similar to problems 9 – 24 in section 8.4)
1. 28 inches to centimeters.
Solution:
2. 25 lbs to kilograms
Solution:
3. 2.3 meters to feet
Solution:
4. 100 kg to lbs
Solution:
5. 20 m2 to yd2
Solution:
6. 10 ft3 to cm3
Solution:
7. 100 miles to kilometers.
Solution:
There are some “word problems” in the section. These
problems involve the same techniques as the problems we
have solved thus far. However, the words will make them
harder to solve. Here are a few directly from the section.
Section 8.4 #38
Carole Ann Harle’s new car traveled 105 miles on 5
gallons of gasoline. How many kilometers can Carol
Ann’s car travel with the same amount of gasoline?
Section 8.4 # 40
The distance from Cincinnati, Ohio to Columbus, Ohio, is
about 110 miles. What is the distance in kilometers?
Section 8.4 # 44.
A swimming pool holds 12,500 gallons of water. What is
the volume in kiloliters?
Section 8.4 #48
A German-made car has a weight of 1.3 t.
a) How many tons does this weight equal?
b) How many pounds?
Section 8.4 # 54
A specific car’s engine has a capacity of 5.7 l of oil. How
many quarts of oil does the engine have?
Section 8.4 # 56
One foot is about 30 cm. Use this information to
determine
a) The equivalent of one square foot in square
centimeters.
b) The equivalent of one cubic foot in cubic
centimeters.