Which expression represents the volume of a substance in terms of its mass (m) and density (d)?

• A. d^2 / m
• B. d / m
• C. m / d
• D. m imes d

Answer: (C)

Verified step by step guidance

1. Recall the definition of density, which is the mass of a substance divided by its volume: \(\text{density} = d = \frac{m}{V}\).
2. To find the volume \(V\) in terms of mass \(m\) and density \(d\), rearrange the formula to solve for \(V\) by multiplying both sides by \(V\) and then dividing both sides by \(d\): \(V = \frac{m}{d}\).
3. Check the units to confirm the formula makes sense: mass (e.g., grams) divided by density (e.g., grams per cubic centimeter) results in volume (e.g., cubic centimeters).
4. Review the given options and identify which matches the derived expression \(V = \frac{m}{d}\).
5. Conclude that the correct expression for volume in terms of mass and density is \(V = \frac{m}{d}\).