The mass of a sample of metal is 8.3432 g. If the density of the metal is `19.3 g cm^(-3)`, what is the volume of the sample?

Answer

To find the volume of the metal sample given its mass and density, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Mass of the metal sample (m) = 8.3432 g
- Density of the metal (d) = 19.3 g/cm³

2. **Use the Density Formula**:
The formula for density (d) is given by:
\[ d = \frac{m}{V} \]
where \( V \) is the volume.

3. **Rearrange the Formula to Solve for Volume**:
To find the volume, we can rearrange the formula:
\[ V = \frac{m}{d} \]

4. **Substitute the Given Values into the Formula**:
Now, substitute the values of mass and density into the rearranged formula:
\[ V = \frac{8.3432 \, \text{g}}{19.3 \, \text{g/cm}^3} \]

5. **Calculate the Volume**:
Performing the calculation:
\[ V = \frac{8.3432}{19.3} \approx 0.432 \, \text{cm}^3 \]

6. **Convert Volume to Milliliters (if needed)**:
Since 1 cm³ is equivalent to 1 mL, the volume in milliliters is:
\[ V \approx 0.432 \, \text{mL} \]

### Final Answer:
The volume of the metal sample is approximately **0.432 cm³** or **0.432 mL**.