# Convert Units of Lengths

A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.

## Table of Conversion

The table below shows the conversion between different units of lengths and will help in solving the examples below.
 km m dm cm mm micrometer nanometer mile yard feet inch 1 km = 1 1×103 1×104 1×105 1×106 1×109 1×1012 0.6213 1093.61 3280.839 39370.07 1 m = 0.001 1 10 100 1×103 1×106 1×109 0.0006213 1.09361 3.280839 39.37007 1 dm = 1×10-4 0.1 1 10 100 1×105 1×108 6.213×10-5 0.10936 0.32808 3.93701 1 cm= 1×10-5 0.01 0.1 1 10 1×104 1×107 6.213×10-6 0.010936 0.032808 0.393701 1 mm= 1×10-6 0.001 0.01 0.1 1 1×103 1×106 6.213×10-7 0.0010936 0.0032808 0.0393701 1 micrometer= 1×10-9 1×10-6 1×10-5 1×10-4 1×10-3 1 1×103 6.213×10-10 0.0010936×10-3 0.0032808×10-3 0.0393701×10-3 1 nanometer= 1×10-12 1×10-9 1×10-8 1×10-7 1×10-6 1×10-3 1 6.213×10-13 0.0010936×10-6 0.0032808×10-6 0.0393701×10-6 1 mile= 1.60934 1609.344 16093.44 160934.4 1609344 1.609344×109 1.609344×1012 1 1760 5280 63360 1 yard= 0.0009144 0.9144 9.14400 91.44 914.4 9.144×105 9.144×108 5.681818×10-4 1 3 36 1 foot= 3.048×10-4 0.3048 3.048 30.48 304.8 304.8×103 304.8×106 1.893939×10-4 0.3333333 1 12 1 inch= 2.54×10-5 2.54×10-2 0.254 2.54 25.4 25.4×103 25.4×106 1.57828283×10-5 0.0277777778 0.0833333333 1

## Questions with Solutions

### Question 1

Convert 12 centimeters (cm) into inches.
Solution:
From the table above we have: 1 cm = 0.393701 inches. Hence
12 cm = 12 × 0.393701 inches = 4.724412 inches

### Question 2

Convert 0.35 miles into centimeters (cm).
Solution:
The tables gives 1 mile = 160934.4 cm. Hence

0.35 miles = 0.35 × 160934.4 cm = 5.63270×10
4 cm

### Question 3

Convert 123.35 feet into kilometers (km).
Solution:
The tables gives 1 foot = 3.048×10
-4 km. Hence
123.35 feet = 123.35 × 3.048×10
-4 km = 0.0375970 km

### Question 4

Convert 11.56 inches into micrometers.
Solution:
The tables gives 1 inch = 25.4×10
3 micrometers. Hence
11.56 inches = 11.56 × 25.4×10
3 micrometers = 2.93624×10 5 micrometers

### Question 5

Convert 1238945.78 nanometers into yards.
Solution:
The tables gives 1 nanometer = 0.0010936×10
-6 yards. Hence
1238945.78 nanometers = 1238945.78 × 0.0010936×10
-6 yards = 0.00135491 yards More math problems with detailed solutions in this site.