To identify the sample, we need to calculate its density using the formula:
\[ \text{Density} = \frac{\text{mass}}{\text{volume}} \]
Given:
- Mass = 249.8 g
- Volume = 92.5 cm³
Now, let's calculate the density:
\[ \text{Density} = \frac{249.8 , \text{g}}{92.5 , \text{cm}^3} \approx 2.70 , \text{g/cm}^3 \]
Now, let's compare this calculated density with the known densities of the provided options:
- Aluminum: ~2.70 g/cm³
- Iron: ~7.87 g/cm³
- Zinc: ~7.14 g/cm³
- Gold: ~19.32 g/cm³
The calculated density of approximately 2.70 g/cm³ closely matches the density of aluminum.
Therefore, the identity of the sample is: A. aluminum.