Answer: The density of metal is
![11.16g/cm^3](https://img.qammunity.org/2019/formulas/chemistry/middle-school/llk8sas168psa99quqhvl4agm404hb3hbn.png)
Step-by-step explanation:
To calculate volume of a substance, we use the equation:
![\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}](https://img.qammunity.org/2019/formulas/biology/high-school/49feola9t5p94j9o8f9r2g8vwxcjsx7ruj.png)
We are given:
Mass of metal = 5.30 lb = 2406.2 g (Conversion factor: 1 lb = 454 g)
Volume of metal =
(Conversion factor:
)
Putting values in above equation, we get:
![\text{Density of metal}=(2406.2g)/(215.69cm^3)\\\\\text{Density of metal}=11.16g/cm^3](https://img.qammunity.org/2019/formulas/chemistry/middle-school/iagtafzacc888ru384k35wg2og94takwwc.png)
Hence, the density of metal is
![11.16g/cm^3](https://img.qammunity.org/2019/formulas/chemistry/middle-school/llk8sas168psa99quqhvl4agm404hb3hbn.png)