Answer: 8.824 g/cm³
Explanation: To find the density of the piece of metal, we must divide the mass by the volume of the metal. To find the metal's volume, we subtract the initial volume from the total volume.
Volume of metal = Final Volume - Initial Volume
Volume of metal = 9.90 - 6.45
Volume of metal = 3.45 cm³
Now, we can implement the metal's volume into the division process to find the density:
Density = 30.4571 ÷ 3.45
Density = 8.824 g/cm³
Hence, the density of the piece of metal is 8.824 g/cm³.