In determining the density of a rectangular metal bar, a student made the following measurements: length, 9.30 em ; width, 2.8 cm ; height, 1.9 cm ; mass, 331.489 g . Calculate the density of the metal to the correct number of significant digits.

To calculate the density of the metal bar, we'll use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] **Given Measurements:** - **Length (L):** 9.30 cm (3 significant figures) - **Width (W):** 2.8 cm (2 significant figures) - **Height (H):** 1.9 cm (2 significant figures) - **Mass (M):** 331.489 g **Step 1: Calculate the Volume** \[ \text{Volume} = L \times W \times H = 9.30 \, \text{cm} \times 2.8 \, \text{cm} \times 1.9 \, \text{cm} \] \[ \text{Volume} = 49.476 \, \text{cm}^3 \] **Step 2: Calculate the Density** \[ \text{Density} = \frac{331.489 \, \text{g}}{49.476 \, \text{cm}^3} \approx 6.7 \, \text{g/cm}^3 \] **Significant Figures:** - The measurements with the least number of significant figures are the width and height, each having **2 significant figures**. - Therefore, the final density value should also be reported with **2 significant figures**. **Final Answer:** \[ \boxed{6.7\ \text{g/cm}^3} \]