Question

Perform each unit conversion.

a. 154 cm to in
b. 3.14 kg to g
c. 3.5 L to qt
d. 109 mm to in

Answer 1

To convert units, appropriate conversion factors are utilized: 154 cm is 60.63 inches, 3.14 kg is 3140 grams, 3.5 L is 3.698 quarts, and 109 mm is 4.291 inches.

Step-by-step explanation:

To perform unit conversions, we make use of the fact that conversion factors are ratios that express the same measurement in different units. By multiplying by appropriate conversion factors, we can convert from one unit to another without changing the actual measurement.

1. 154 cm to inches: We use the conversion factor where 1 inch equals 2.54 centimeters.
   154 cm × (1 in / 2.54 cm) = 60.63 inches.
2. 3.14 kg to grams: Since 1 kilogram equals 1000 grams, the conversion is straightforward.
   3.14 kg × (1000 g / 1 kg) = 3140 grams.
3. 3.5 L to quarts: We use the conversion factor 1 liter is approximately 1.05669 US quarts.
   3.5 L × (1.05669 qt / 1 L) = 3.698 qt.
4. 109 mm to inches: Again using the fact that 1 inch is 2.54 cm, and knowing there are 10 mm in a cm, we have:
   109 mm × (1 cm / 10 mm) × (1 in / 2.54 cm) = 4.291 inches.