High School

What is the volume (in cm\(^3\)) of a 63.4 g piece of metal with a density of 12.86 g/cm\(^3\)?

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).