## Q. 2.26

Unit Conversion

Convert 108 ft to meters.

## 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)