If an object has a density of 8.65 g/cm^3, what is its density in units of kg/m^3?

• A. 0.865 kg/m^3
• B. 8650 kg/m^3
• C. 86.5 kg/m^3
• D. 8.65 kg/m^3

Answer: (B)

Verified step by step guidance

1. Identify the given density and its units: 8.65 g/cm^3.
2. Recall the unit conversion factors: 1 g = 0.001 kg and 1 cm = 0.01 m.
3. Convert grams to kilograms: multiply by 0.001 to convert g to kg.
4. Convert cubic centimeters to cubic meters: since 1 cm = 0.01 m, then 1 cm^3 = (0.01 m)^3 = 1 \times 10^{-6} m^3.
5. Combine the conversions to express density in kg/m^3 using the formula: \(\text{density in kg/m}^3 = 8.65 \times \frac{0.001 \text{ kg}}{1 \text{ g}} \times \frac{1}{1 \times 10^{-6} \text{ m}^3 / \text{cm}^3}\).