Chapter 2

Q. 2.26

Unit Conversion

Convert 108 ft to meters.

Step-by-Step

Verified Solution

GIVEN: 108 ft

FIND: m

SOLUTION MAP

ft \underset{\frac{12  in.}{1  ft} }{\longrightarrow } in. \underset{\frac{1  m}{39.37  in.} }{\longrightarrow } m

RELATIONSHIPS USED

1 m = 39.37 in. (Table 2.3)

1 ft = 12 in. (by definition)

SOLUTION

108  \cancel{ft}\times \frac{12  \cancel{in.}}{1  \cancel{ft}} \times \frac{1  m}{39.37  \cancel{in.}}

= 32.918 m

= 32.9 m

The answer has the right units (meters), and it makes sense; because a meter is longer than a foot, the number of meters should be less than the number of feet.

Table 2.3

Some Common Units and Their Equivalents
Length
1 kilometer (km) = 0.6214 mile (mi)
1 meter (m) = 39.37 inches (in.)

= 1.094 yards (yd)

1 foot (ft) = 30.48 centimeters (cm)
1 inch (in.) = 2.54 centimeters (cm) (exact)
Mass
1 kilogram (kg) = 2.205 pounds (lb)
1 pound (lb) = 453.59 grams (g)
1 ounce (oz) = 28.35 grams (g)
Volume
1 liter (L) = 1000 milliliters (mL)

= 1000 cubic centimeters (cm^3)

1 liter (L) = 1.057 quarts (qt)
1 U.S. gallon (gal) = 3.785 liters (L)