Questions: What is the volume of a 2.5 g block of metal if its density is 4.75 g / cm^3 ? 0.53 cm^3 1.9 cm^3 2.5 cm^3 4.75 cm^3 11.9 cm^3

Solution Steps

The relationship between mass, volume, and density is given by the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] We can rearrange this formula to solve for volume: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

We are given the mass of the metal block as \(2.5 \, \text{g}\) and the density as \(4.75 \, \text{g/cm}^3\). Substituting these values into the formula for volume, we get: \[ \text{Volume} = \frac{2.5 \, \text{g}}{4.75 \, \text{g/cm}^3} \]

Perform the division to find the volume: \[ \text{Volume} = \frac{2.5}{4.75} \approx 0.5263 \, \text{cm}^3 \] Rounding to four significant figures, the volume is approximately \(0.5263 \, \text{cm}^3\).

The closest option to our calculated volume of \(0.5263 \, \text{cm}^3\) is \(0.53 \, \text{cm}^3\).

Final Answer