What mass is contained in #"75 cm"^3# of a substance whose density is #"620 g/cm"^3#?

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Answer 1 · 2015-09-02T23:27:56

Notice how the units match up:

#"620 g"/"cm"^3# vs. #"75 cm"^3#

All you have to do is multiply by the given volume and you will cancel out the volume units (#"cm"^3 = "mL"#).

Therefore, you just get:

#"620 g"/cancel("cm"^3) * "75" cancel("cm"^3)#

#=# #color(blue)("46500 g")#

Or, you could have used the equation for the density #rho# as it relates to mass #m# and volume #V#

#rho = m/V#,

and solved for mass #m = rhoV#, which is what we just did, formalized.