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Answer:
[tex]\boxed {\boxed {\sf 4.17 \ g/mL}}[/tex]
Explanation:
We are asked to find the density of a metal. Density is the mass per unit volume. It is calculated by dividing the mass by the volume.
[tex]\rho= \frac{m}{v}[/tex]
The mass of the metal sample is 24.64 grams and the volume is 5.91 milliliters. We can substitute these values into the formula.
[tex]\rho=\frac{24.64 \ g }{5.81 \ mL}[/tex]
Divide.
[tex]\rho= 4.169204738 \ g/mL[/tex]
The mass measurement has 4 significant figures the volume measurement has 3 significant figures. Our answer for density must match the least number of significant figures, which is 3.
For the number we calculated, that is the hundredth place. The 9 in the thousandth place tells us to round the 6 up to a 7.
[tex]\rho \approx 4.17 \ g/mL[/tex]
The density of this metal is approximately 4.17 grams per milliliter.