To identify the unknown metal, you can calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
In your case, the mass is given as \(137467 , \text{grams}\) and the volume as \(38 , \text{cm}^3\) (I'll assume you meant \(cm^3\) instead of \(cm^4\), as volume is expressed in cubic centimeters).
Now, let's calculate the density:
\[ \text{Density} = \frac{137467 , \text{g}}{38 , \text{cm}^3} \approx 3628.50 , \text{g/cm}^3 \]
Now, you can compare this calculated density to known densities of metals to identify the unknown metal. The density of common metals is as follows:
- Aluminum: ~2.70 g/cm³
- Copper: ~8.96 g/cm³
- Iron: ~7.87 g/cm³
- Lead: ~11.34 g/cm³
- Gold: ~19.32 g/cm³
- Silver: ~10.49 g/cm³
- Zinc: ~7.14 g/cm³
- Nickel: ~8.90 g/cm³
- Titanium: ~4.51 g/cm³
- Steel: ~7.85 g/cm³
A density of approximately \(3628.50 , \text{g/cm}^3\) is higher than most common metals, so it seems there might have been a miscalculation or misidentification in the mass or volume values. Metals generally do not have such high densities. Please double-check the values to ensure they are correct.