Convert 12 fluid ounces liters. (1 fl. oz = 29.57 cm^3)
Do you know how to do this by dimensional analysis?
12 fluid oz x factor = cc.
factor is given to you. 1 oz = 29.57 cc.
so we make a factor out of that by
1 oz/29.57 cc. You can write it as 29.57 cc/1 oz too; it makes no difference which way you have it written. Then we substitute this for the factor above. You will notice we can write it two different ways.
12 oz x (29.57 cc/1 oz) = 354.8 cc or we could write it as
12 oz x (1 oz/29.57 cc) = 0.4058 , So which is right? Look at the units. Note in the first one that the unit oz on top cancels with oz on the bottom and leaves the unit cc for the answer. That is what we want. We ALWAYS arrange the factor so that the unit we don't want cancels and the unit for which we want the answer stays. What about the second one? The unit oz on top multiplies by oz on top to give us oz2 divided by cc so the units are oz2/cc and that isn't the unit we want.
The original problem wants the answer in liters and the answer above is in cc. You need to do this one to convert cc to liters. There are 1000 cc in 1 L.