Answer:
The density of a sample of gold is 19.32 ![\frac{g}{cm^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)
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:
![d=\frac{mass}{volume}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7Bmass%7D%7Bvolume%7D)
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:
![d=\frac{944.75 g}{48.9cm^{3} }](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B944.75%20g%7D%7B48.9cm%5E%7B3%7D%20%7D)
![d=19.32 \frac{g}{cm^{3} }](https://tex.z-dn.net/?f=d%3D19.32%20%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)
<u><em>The density of a sample of gold is 19.32 </em></u>
<u><em></em></u>