Answer :
Final answer:
The volume of a 63.4 g piece of metal with a density of 12.86 g/cm³ is 4.93 cm³.
Explanation:
To calculate the volume of a piece of metal given its mass and density, we use the formula Volume = Mass / Density. In this case, the student has a 63.4 g piece of metal, and the density is given as 12.86 g/cm³. Therefore, the volume can be calculated as follows:
Volume = 63.4 g / 12.86 g/cm³ = 4.929 g/cm³ (the unit g cancels out, leaving cm³)
Thus, the volume of the metal piece is 4.93 cm³ (rounded to two decimal places).