Answer: the volume of the metal is 5.02 mL
Explanation:
The question requires us to calculate the volume of a sample which density is 92 g/mL and mass is 462 g.
Measurements > Density
The density of a substance is defined as the ratio between its mass and volume:
[tex]density=\frac{mass}{volume}[/tex]We can rearrange the equation above to calculate the volume of a sample from its density and mass:
[tex]density=\frac{mass}{volume}\rightarrow volume=\frac{mass}{density}[/tex]And, applying the values of mass and density given by the question, we'll have:
[tex]volume=\frac{mass}{density}\rightarrow volume=\frac{462g}{92g/mL}=5.02mL[/tex]Therefore, the volume of the metal is 5.02 mL.