Using the same formula V = M / D, which physical quantity is obtained?

Using the same formula V = M / D, which physical quantity is obtained?

• A. Mass
• B. Volume
• C. Density
• D. Area

Answer: (B)

Dividing mass by density yields volume. Density is mass per unit volume, so D = M/V. Rearranging gives V = M/D, meaning the result of this calculation is the amount of space the mass occupies—the volume. For example, 200 g with a density of 0.8 g/mL gives V = 200 / 0.8 = 250 mL. This isn’t mass or density, and it isn’t area, since area comes from length measurements, not a mass-to-density ratio. Volume is the quantity obtained.

Dividing mass by density yields volume. Density is mass per unit volume, so D = M/V. Rearranging gives V = M/D, meaning the result of this calculation is the amount of space the mass occupies—the volume. For example, 200 g with a density of 0.8 g/mL gives V = 200 / 0.8 = 250 mL. This isn’t mass or density, and it isn’t area, since area comes from length measurements, not a mass-to-density ratio. Volume is the quantity obtained.