or 
.There are several steps that can be used to solve a dimensional analysis problem.
Sometimes you can use intrinsic properties of substances as conversion factors. For example, you may use density to convert between mass and volume.
Example problem: I have 0.6 kilograms (kg) of aluminum (Al). What volume of aluminum do I have?
You know you have 0.6 kg of Al, which is 
.
You know you want to find volume, which is expressed as cm3.
You need to convert from kg to cm3.
You need the density of Al, which is 
and the conversion factor 
.
Note: these conversions can be flipped so that you are able to eliminate your units as needed.
Now you need to solve your problem.
Next, multiply across the top and then multiply across the bottom.
Then, divide as needed.
Example: If you have 64 grams of oxygen, how many grams of water are produced?
You know you have 64 g of O2;
.
You know you need grams of water (g H2O).
You need to covert from grams of O2 to grams of H2O.
You know you need the conversion factors: 
.
Note: these conversions can be flipped so that you are able to eliminate your units as needed.
Now you need to solve your problem.
Next, multiply across the top and then multiply across the bottom.
Then, divide as needed.
Regardless of why you’re using dimensional analysis, the tool can help you move from one set of units to another.
