Answer:
![\boxed {\boxed {\sf 19.3 \ g/cm^3}}](https://img.qammunity.org/2022/formulas/chemistry/high-school/6b2q0l7fhj12ndectvoqqjqwd82tw8bzud.png)
Step-by-step 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.
![\rho= (m)/(v)](https://img.qammunity.org/2022/formulas/chemistry/high-school/dnu2dhx1nhi7oyqfzz4ama1l6yp6qoyd7h.png)
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.
![\rho= ( 96.5 \ g)/(5.00 \ cm^3)](https://img.qammunity.org/2022/formulas/chemistry/high-school/mv9aoidqs9108tx9i92is03vy972ycpzqa.png)
Divide.
![\rho= 19.3 \ g/cm^3](https://img.qammunity.org/2022/formulas/chemistry/high-school/qymrbbfa4ihm6n15xb69qi02fgven1lx02.png)
The density of gold is 19.3 grams per cubic centimeter.