Answer:
The density of a sample of gold is 19.32 [tex]\frac{g}{cm^{3} }[/tex]
Explanation:
Density can be defined as the property that matter has, whether solids, liquids or gases, to be compressed in a given space. In other words, density is a magnitude that allows you to measure the amount of mass in a given volume of a substance. Then, the expression for the calculation of density is the ratio between the mass of a body and the volume it occupies:
[tex]d=\frac{mass}{volume}[/tex]
From this expression it can be deduced that the density is inversely proportional to the volume: the smaller the volume occupied by a given mass, the greater the density.
Density, according to the International System of Units, is usually expressed in kilograms per cubic meter (kg/m³) or gram per cubic centimeter (g/cm³).
So, in this case:
[tex]d=\frac{944.75 g}{48.9cm^{3} }[/tex]
[tex]d=19.32 \frac{g}{cm^{3} }[/tex]
The density of a sample of gold is 19.32 [tex]\frac{g}{cm^{3} }[/tex]
