A block of platinum with a mass of 4,290 kilograms has a volume of .2 cubic meters. What is the density of platinum in kilograms per cubic meter?
Your goal when dealing with density problems is to figure out the mass of one unit of volume.
In this case, volume is given to you in cubic meters,
How do you do that?
Notice that the problem tells you that a volume of
This means that if
Simply put, the mass of one cubic meter will be
#1 color(red)(cancel(color(black)("m"^3))) * "4,290 kg"/(0.2color(red)(cancel(color(black)("m"^3)))) = "21,450 kg"#
Therefore, you can say that platinum has a density of