To calculate the volume of given metal, we use the formula
[tex]Density= \frac{mass}{volume}[/tex]
Given, the mass of metal 36.7 g and density of metal is 6.95 g/cm3
Therefore,
[tex]6.95 g/cm^{3} = \frac{36.7 g}{volume}[/tex]
or [tex]volume = \frac{36.7 g}{6.95 g/cm^{3} }[/tex]
[tex]volume = 5.3 cm^{3}[/tex]
Thus, the volume of metal piece is [tex]5.3 cm^{3}[/tex]