Question

using the table of equalities, select the correct conversion factors that indicate the number of centimeters (cm) in one inch (in).
some common equalities
quantity\tmetric (si)\tu.s.\tmetric - u.s.
length\t1 km = 1000 m\t1 ft = 12 in\t2.54 cm = 1 in (exact)
\t1 m = 1000 mm\t1 yd = 3 ft\t1 m = 39.4 in
\t1 cm = 10 mm\t1 mi = 5280 ft\t1 km = 0.621 mi
volume\t1 l = 1000 ml\t1 qt = 4 cups\t946 ml = 1 qt
\t1 dl = 100 ml\t1 qt = 2 pt\t1 l = 1.06 qt
\t1 ml = 1 cm³\t1 gal = 4 qt
mass\t1 kg = 1000 g\t1 lb = 16 oz\t1 kg = 2.20 lb
\t1 g = 1000 mg\t454 g = 1 lb
time\t1 h = 60 min\t1 h = 60 min
\t1 min = 60 s\t1 min = 60 s

Explanation:

Step1: Recall the length - conversion fact

From the given table of equalities, we know that 2.54 cm = 1 in.

Step2: Determine the conversion factors

The two conversion factors for the relationship between centimeters and inches are $\frac{2.54\ cm}{1\ in}$ and $\frac{1\ in}{2.54\ cm}$. The first one gives the number of centimeters per inch.

Answer:

$\frac{2.54\ cm}{1\ in}$ or $\frac{1\ in}{2.54\ cm}$