Taking into account the definition of density, the mass of two cubic inches (2.00 in³) of gold is 632.54 grams.
But first you must know the definition of density. Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a scalar quantity referring to the amount of mass in a given volume of a substance, that is, it shows the relationship between the weight (mass) of a substance and the volume it occupies.
Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know that:
Replacing in the definition of density:
[tex]19.3\frac{g}{cm^{3} } =\frac{mass}{32.7741 cm^{3} }[/tex]
Solving:
mass= 19.3 [tex]\frac{g}{cm^{3} }[/tex]× 32.7741 cm³
mass= 632.54 g
In summary, the mass of two cubic inches (2.00 in³) of gold is 632.54 grams.
Learn more about density:
