Question

Utilizing dimensional analysis, find the number of inches in a kilometer given that 1 inch = 2.54 centimeters

Answer 1

Answer:

The correct answer is 39,370.

Answer 2

To answer this item, we need to utilize the appropriate the conversion factors and the dimensional analysis. 

Our basis for solving is 1 kilometers. It is known that each kilometer is composed of 1000 meters. 
  
          (1 km) x (1000 m/1 km) = 1000 m

Next, we need to determine the number of centimeters. The conversion factor that can be used is 1 meter = 100 centimeters
          (1000 m) x (100 cm/ 1 m) = 100,000 cm

Lastly, we use the given conversion factor to convert the centimeters to inches.
  
              (100,000 cm) x (1 inch / 2.54 cm)
                     = 39,370.08 in

ANSWER: Each kilometer is composed of 39,370.08 inches