If the density of a sample is 14 g/mL, and its mass is 56 grams, what would its volume be?
The idea here is that the density of a substance can be thought of as being a conversion factor between the mass of a sample of this substance and the volume it occupies.
In your case, the sample is said to have a density of
In other words, for every milliliter of that substance that you have in your sample, you get a mass of
The problem tells you that the mass of the sample is equal to
How much more?
Use the given density to find out!
#56 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(14color(red)(cancel(color(black)("g")))))^(color(purple)("density as a conversion factor")) = color(green)(|bar(ul(color(white)(a/a)"4.0 mL"color(white)(a/a)|)))#