MODERN ALCHEMIST

Dimensional Analysis

"We sell an egg for $0.03, we put 18 eggs in a carton, we load 200 cartons on a pallet. Jane Customer wants to know how much we charge for a pallet of eggs."

1 egg = $0.03
18 eggs = 1 carton

200 cartons = 1 pallet

           200 cartons   18 eggs    $0.03    $108.00
1 pallet * ----------- * -------- * ------ = -------
           1 pallet      1 carton   1 eggs

Dimensional Analysis- The process of multiplying conversion factors against a starting quantity in order to cancel units and arrive at an answer with the desired units.

1 calorie = 4.184 joules

1 inch = 2.54 centimeters

1 liter = 1.0567 quart

1 kilogram = 2.2046 pounds

1 kilometer = 0.62137 miles

1 mile = 5280 feet

1 mile = 1.6093 kilometers