Units and Dimensional Analysis Factor-Label Method

SOLUTION You rearrange the formula defining the density to obtain the volume. 

EXERCISE 1.7 Ethanol (grain alcohol) has a density of 0.789 g/cm. What volume of ethanol must be poured into a graduated cylinder to equal 30.3 g  

8 Units and Dimensional Analysis (Factor-Label Method) 

In performing numaical calculations with physical quantities, it is good practice to enter each quantity as a number with its associated unit. Both the numb and the units are then carried through the indicated algebraic operations. The advantages of this are twofold  

If you make an error in arranging factors in the calculation (for example, if you use the wrong formula), this will become apparent because the final units will be nonsense. 

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