A 30 kg sample of an unknown material has a volume of 15 m^3. What is its density in kg/m^3?

• A. 45 kg/m^3
• B. 450 kg/m^3
• C. 0.5 kg/m^3
• D. 2 kg/m^3

Answer: (D)

Verified step by step guidance

1. Recall the formula for density, which is defined as mass divided by volume: \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
2. Identify the given values from the problem: mass \(m = 30\ \text{kg}\) and volume \(V = 15\ \text{m}^3\).
3. Substitute the known values into the density formula: \(\text{density} = \frac{30\ \text{kg}}{15\ \text{m}^3}\).
4. Perform the division to find the density value (do not calculate the final number here, just set up the expression).
5. Express the units clearly as kilograms per cubic meter (\(\text{kg/m}^3\)) to complete the answer.