Question 1
Convert 12 centimeters (cm) into inches.
Solution:
From the table: 1 cm = 0.393701 inches
\[ 12 \text{ cm} = 12 \times 0.393701 \text{ inches} = 4.724412 \text{ inches} \]Length Conversion Reference Table
The table below provides conversion factors between common length units for solving the examples.
| km | m | dm | cm | mm | micrometer | nanometer | mile | yard | feet | inch | |
| 1 km = | 1 | \(1\times10^{3}\) | \(1\times10^{4}\) | \(1\times10^{5}\) | \(1\times10^{6}\) | \(1\times10^{9}\) | \(1\times10^{12}\) | 0.6213 | 1093.61 | 3280.839 | 39370.07 |
| 1 m = | 0.001 | 1 | 10 | 100 | \(1\times10^{3}\) | \(1\times10^{6}\) | \(1\times10^{9}\) | 0.0006213 | 1.09361 | 3.280839 | 39.37007 |
| 1 dm = | \(1\times10^{-4}\) | 0.1 | 1 | 10 | 100 | \(1\times10^{5}\) | \(1\times10^{8}\) | \(6.213\times10^{-5}\) | 0.10936 | 0.32808 | 3.93701 |
| 1 cm = | \(1\times10^{-5}\) | 0.01 | 0.1 | 1 | 10 | \(1\times10^{4}\) | \(1\times10^{7}\) | \(6.213\times10^{-6}\) | 0.010936 | 0.032808 | 0.393701 |
| 1 mm = | \(1\times10^{-6}\) | 0.001 | 0.01 | 0.1 | 1 | \(1\times10^{3}\) | \(1\times10^{6}\) | \(6.213\times10^{-7}\) | 0.0010936 | 0.0032808 | 0.0393701 |
| 1 micrometer = | \(1\times10^{-9}\) | \(1\times10^{-6}\) | \(1\times10^{-5}\) | \(1\times10^{-4}\) | \(1\times10^{-3}\) | 1 | \(1\times10^{3}\) | \(6.213\times10^{-10}\) | \(0.0010936\times10^{-3}\) | \(0.0032808\times10^{-3}\) | \(0.0393701\times10^{-3}\) |
| 1 nanometer = | \(1\times10^{-12}\) | \(1\times10^{-9}\) | \(1\times10^{-8}\) | \(1\times10^{-7}\) | \(1\times10^{-6}\) | \(1\times10^{-3}\) | 1 | \(6.213\times10^{-13}\) | \(0.0010936\times10^{-6}\) | \(0.0032808\times10^{-6}\) | \(0.0393701\times10^{-6}\) |
| 1 mile = | 1.60934 | 1609.344 | 16093.44 | 160934.4 | 1609344 | \(1.609344\times10^{9}\) | \(1.609344\times10^{12}\) | 1 | 1760 | 5280 | 63360 |
| 1 yard = | 0.0009144 | 0.9144 | 9.14400 | 91.44 | 914.4 | \(9.144\times10^{5}\) | \(9.144\times10^{8}\) | \(5.681818\times10^{-4}\) | 1 | 3 | 36 |
| 1 foot = | \(3.048\times10^{-4}\) | 0.3048 | 3.048 | 30.48 | 304.8 | \(304.8\times10^{3}\) | \(304.8\times10^{6}\) | \(1.893939\times10^{-4}\) | 0.3333333 | 1 | 12 |
| 1 inch = | \(2.54\times10^{-5}\) | \(2.54\times10^{-2}\) | 0.254 | 2.54 | 25.4 | \(25.4\times10^{3}\) | \(25.4\times10^{6}\) | \(1.57828283\times10^{-5}\) | 0.0277777778 | 0.0833333333 | 1 |
Solved Conversion Examples
Question 2
Convert 0.35 miles into centimeters (cm).
Solution:
From the table: 1 mile = 160934.4 cm
\[ 0.35 \text{ miles} = 0.35 \times 160934.4 \text{ cm} = 5.63270 \times 10^{4} \text{ cm} \]Question 3
Convert 123.35 feet into kilometers (km).
Solution:
From the table: 1 foot = \(3.048\times10^{-4}\) km
\[ 123.35 \text{ feet} = 123.35 \times 3.048\times10^{-4} \text{ km} = 0.0375970 \text{ km} \]Question 4
Convert 11.56 inches into micrometers.
Solution:
From the table: 1 inch = \(25.4\times10^{3}\) micrometers
\[ 11.56 \text{ inches} = 11.56 \times 25.4\times10^{3} \text{ micrometers} = 2.93624\times10^{5} \text{ micrometers} \]Question 5
Convert 1,238,945.78 nanometers into yards.
Solution:
From the table: 1 nanometer = \(0.0010936\times10^{-6}\) yards
\[ 1,238,945.78 \text{ nanometers} = 1,238,945.78 \times 0.0010936\times10^{-6} \text{ yards} = 0.00135491 \text{ yards} \]