An object has a mass of 0.0124kg and a volume of 1893mm3. What is its density in grams per cubic centimeter?

6.25*10⁻⁶ g / cm³

Explanation:

Density is the relation between mass and volume as this formula shows.

Density of a compound = Mass of the compound / Volume of compound

In the values, we were given:

0.0124 kg / 1983 mm³ = 6.25*10⁻⁶ kg/mm³

This number means that in a volume of 1 mm³ of compound, the mass of it occupies 6.25*10⁻⁶ kg. Let's make a rule of three:

1 cm³ = 1*10⁻³ mm³

In 1 mm³ we have 6.25*10⁻⁶ kg of compound

So in 1*10⁻³ mm³ we would have (1*10⁻³ mm³. 6.25*10⁻⁶ kg) / 1 mm³ =

6.25*10⁻⁹ kg

Now let's convert the kg to g.

1 kg = 1000 g

6.25*10⁻⁹ kg. 1000 = 6.25*10⁻⁶ g

Finally density is : 6.25*10⁻⁶ g / cm³