Amaterial weighs 8 grams and takes up 2 cubic centimeters of space. What is the material's density in grams per cubic centimeter (#g/(cm^3)#)?

1 Answer
anor277
Sep 5, 2016

#"Density"# #=# #"mass"/"volume"# #=# #4*g*cm^-3#

Explanation:

#"Density"# #=# #"mass"/"volume"# #=# #(8*g)/(2*cm^3)# #=# #4*g*cm^-3#

When we put the units into these sorts of calculations, it is an extra check on our accuracy. We try to calculate a density, with reasonable units of #g*mL# or #g*cm^-3#. We got an answer in #g*cm^-3#, which persuades us that we are not too far off. You can use this approach with physics problems as well. It is all too easy to make a mistake in the formula or even in the arithmetic.

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