Answer:
![\boxed {\boxed {\sf A. \ Nickel}}](https://img.qammunity.org/2021/formulas/chemistry/high-school/jalrwvt8sh7s9trkngn994n95ccm2fgm50.png)
Step-by-step explanation:
First, we must find the density of the unknown metal.
Density is found by dividing the mass by the volume.
![d=(m)/(v)](https://img.qammunity.org/2021/formulas/social-studies/college/sm61tfevco049bqxe8o8eoklju47rhb835.png)
The mass of the metal is 89 grams and the density is 10 cubic centimeters.
![m= 89 \ g \\d= 10 \ cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/7bbwxr6bstu2mc0khn7qmhrx4p37p6z8rc.png)
Substitute the values into the formula.
![d=(89 \ g)/(10 \ cm^3)](https://img.qammunity.org/2021/formulas/chemistry/high-school/r958f59dnnm816glhurpcj7cgry34is93v.png)
Divide.
![d= 8.9 \ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/qda2tax4i994qmk0s5tybhm6f99c0xd6vt.png)
Now we know the density and can identify the unknown metal.
- Nickel: 8.9 g/cm³
- Silver: 10.5 g/cm³
- Lead: 11.35 g/cm³
- Mercury: 13.55 g/cm³
The density matches nickel's density. Therefore, this metal must be nickel.