A metal sample has a mass of 43.6 g and a density of 2.71 g/cm^3. What is the volume of the metal in cm^3?

• A. 118 cm^3
• B. 0.0622 cm^3
• C. 16.1 cm^3
• D. 2.71 cm^3

Answer: (C)

Verified step by step guidance

1. Identify the known quantities: the mass of the metal sample is 43.6 g, and the density is 2.71 g/cm^3.
2. Recall the formula that relates mass, density, and volume: \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\).
3. Rearrange the formula to solve for volume: \(\text{Volume} = \frac{\text{Mass}}{\text{Density}}\).
4. Substitute the known values into the formula: \(\text{Volume} = \frac{43.6\ \text{g}}{2.71\ \text{g/cm}^3}\).
5. Perform the division to find the volume in cm\(^3\) (do not calculate the final number here, just set up the expression).