Metric to English English to Metric Length: 1millimeter (m) = 0.04 inches (in) 1 centimeter (cm) = 0.39 inches (in) 1 meter (m) = 39.37 inches = 3.28 feet (ft) 1 meter (m) = 1.09 yard (yd) 1 kilometer (km) = 0.62 miles (mi) Length: 1 inch (in) = 2.54 centimeters (cm) 1 foot (ft) = 30.48 cm = 0.305 meters (m) 1 yard (yd) = 0.914 meters (m) 1 mile (mi) = 1.609 kilometer (km) Weight: 1 gram (g) = 0.035 ounces (oz) 1 liter (l) = 1.057 quart (qt) Weight: 1 ounces (oz) = 28.350 grams (g) 1 pound (lb) = 0.453 kilograms (kg) Capacity: 1 milliliter (ml) = 0.2 teaspoon (tsp) 1 liter (l) = 1.057 quart (qt) Capacity: 1 teaspoon (tsp) = 5 milliliters (ml) 1 cup (c) = 236 milliliters (ml) 1 quart (qt) = 0.9461 liter (l) 1 gallon (gal) = 3.785 liter (l)

Dimensional Analysis and Conversion Ratios:

The main idea in Dimensional Analysis is to create a conversion ratio (unit factor) which has the units you want in the numerator and the units you already have in the denominator. It may be necessary to multiply by more than one conversion ratio in more difficult problems. Remember that you are setting up for one, or more, of the units to cancel until only the desired units remain. ALL conversion ratios (unit factors) must equal one!

Let's try some examples to see how the process works between systems.

Convert 155 cm to feet.

Between systems: (round to nearest hundreth))
1 inch = 2.54 cm
Notice the need for 2 conversion ratios (both of which equal 1).
All units cancel out except for the desired units.

(between systems)
Convert 12 yards to centimeters.

Between systems.
Notice the need for 2 conversion ratios (both of which equal 1).
All units cancel out except for the desired units.

Convert 120 km per hour to
miles per minute.

Between systems. (round to 3 decimal places)
Notice the need for 2 conversion ratios (both of which equal 1).
All units cancel out except for the desired units.