Answer:
The volume of the sample of gold is
16.51
![cm^(3)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/lvic7xkhag35w5dw9wmgq285feeh6rj8ut.png)
Step-by-step explanation:
The formula for density is:
D=
.
where:
D is density,
M is mass, and
V is volume.
Rearrange the density formula to isolate volume.
V=
![(M)/(D)](https://img.qammunity.org/2021/formulas/physics/college/j5ock31er9t752d4g1e24pljsdpfd2xqyo.png)
V=
![(318.97g Au)/(19.32g cm^(3))](https://img.qammunity.org/2021/formulas/physics/college/g43h7l475f8xtgkm8g585qniuxane4966y.png)
V= 318.97∅ ×
← Multiply by the multiplicative inverse of the density.
V= 16.51 cm³ Au.