Determine the volume of an object in cm3 that has a mass of 78.66 kg and a density of 19.3 g/cm3.

Question

Determine the volume of an object in cm³ that has a mass of 78.66 kg and a density of 19.3 g/cm³.

Answer 1

Hey, so to answer your question, we must first know that density (d) = mass / volume.

Now, in your question, the units for mass is in kg and density is in g. So, first let us convert the units of kg to g.

So, that will give the mass = 78.66kg*100 = 7866g

Now, it is just a matter of substitution into the equation of density and solving for volume.

19.3g/cm^3 = 7866g/v

v(19.3g/cm^3) = 7866g ( to get v on the right side, we need to multiply v on both sides)

v= 7866g (cm^3) / 19.3g (to get v by its own, we need to move the 19.3g/cm^3 to the other side by dividing it)

v= 407.6cm^3