Answer:
1.6 cm³
Step-by-step explanation:
The density is equal to mass divided by the volume. So, we can solve the equation for the volume as follows
![\begin{gathered} \rho=(m)/(V) \\ \rho V=(m)/(V)V \\ \rho V=m \\ (\rho V)/(\rho)=(m)/(\rho) \\ V=(m)/(\rho) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ot29fr09a2tznyqyctp7azgtmw9c4jaqb5.png)
Where ρ is the density, m is the mass and V is the volume
Replacing the density by 40 g/cm³ and the mass by 64.4 g, we get
![V=(64.4g)/(40g/cm^3)=1.61\operatorname{cm}^3]()
Therefore, the answer is
1.6 cm³