You would actually measure the mass of an accurately measured volume of methanol at a given temperature.
And of course, ρ,density = MassVolume.
For methanol at 298K, ρ=0.792⋅g⋅${ cm }^{ -3 }$.
Methanol is immiscible with petroleum ether, ρ=0.653⋅g⋅${ cm }^{ -3 }$. Would methanol float or sink on/in pet. ether?