Density is mass divided by volume. The volume of the metal is [tex]3.2 cm * 17.1 cm * 3.3 cm = 180.576 cm^3[/tex]. Please note that [tex]1 cm^3[/tex] is equivalent to [tex]1 mL[/tex]. The density is often given in grams per milliliter or kilograms per liter. So we need to convert one of these units. Choosing the mass, [tex]1.5 kg = 1,500 g[/tex]. Finally, we divide [tex]1,500[/tex] by [tex]180.576[/tex] to yield [tex]8.3 g/mL[/tex], accounting for sig figs.
(This is very close in density to Terbium, but more analysis would be needed to identify the metal.)
