Question

density (d) can be found using the formula d = \frac{mass}{volume}. which unit would be the most appropriate for calculating the density? (a) \frac{lb}{mm^{3}} (b) \frac{g}{cm^{3}} (c) \frac{kg}{m^{3}} (d) \frac{ton}{m^{3}}

Explanation:

Step1: Recall common - sense of density units

Density is mass per unit volume. For small - scale solid objects like a small rock, we use appropriate mass and volume units.

Step2: Analyze each option

• Option A: $\frac{lb}{mm^{3}}$ is not a common unit. Pounds (lb) are a non - SI unit and $mm^{3}$ is a very small volume unit for general rock density calculations.
• Option B: $\frac{g}{cm^{3}}$ is a very common unit for density of small solid objects. Grams (g) are a suitable mass unit for small rocks and $cm^{3}$ is a convenient volume unit for such objects.
• Option C: $\frac{kg}{m^{3}}$ is more suitable for large - scale or bulk materials. Kilograms (kg) are larger mass units and $m^{3}$ is a large volume unit.
• Option D: $\frac{ton}{m^{3}}$ is used for extremely large - scale density calculations, where tons are massive mass units.

Answer:

B. $\frac{g}{cm^{3}}$