Answer:
[tex]\boxed {\boxed {\sf 19.3 \ g/cm^3}}[/tex]
Explanation:
We are asked to calculate the density of gold. The density of a substance is its mass per unit volume. It is calculated using the following formula.
[tex]\rho= \frac{m}{v}[/tex]
The mass of the sample is 96.5 grams. The volume of the sample is 5.00 cubic centimeters.
Substitute the values into the formula.
[tex]\rho= \frac{ 96.5 \ g}{5.00 \ cm^3}[/tex]
Divide.
[tex]\rho= 19.3 \ g/cm^3[/tex]
The density of gold is 19.3 grams per cubic centimeter.