Answer: 0.057 kg
Explanation:
We can find the mass of the oil if we know its density and the volume it occupies. Since the density [tex]\rho[/tex] is a relation between the mass [tex]m[/tex] and the volume [tex]V[/tex] of a substance:
[tex]\rho=\frac{m}{V}[/tex] (1)
Now, the density of oil is generally between [tex]700 \frac{kg}{m^{3}}[/tex] and [tex]950 \frac{kg}{m^{3}}[/tex]. However, in this case we will take [tex]950 \frac{kg}{m^{3}}[/tex] as its density.
In adition, we are given as data the volume thw oil occupies:
[tex]V=60 cm^{3} \frac{1 m^{3}}{(100 cm)^{3}}=6(10)^{-5} m^{3}[/tex]
Writing these values in (1):
[tex]950 \frac{kg}{m^{3}}=\frac{m}{6(10)^{-5} m^{3}}[/tex] (2)
Isolating [tex]m[/tex]:
[tex]m=0.057 kg[/tex] This is the mass of the oil
