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.

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

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*104 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*103 micrometers. Hence

11.56 inches = 11.56 * 25.4*103 micrometers = 2.93624*105 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

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