If an object has a density of 8.65 g/cm^3 and a mass of 346 g, what is its volume in cm^3?

• A. 29.9 cm^3
• B. 40.0 cm^3
• C. 300 cm^3
• D. 8.65 cm^3

Answer: (B)

Verified step by step guidance

1. Recall the formula that relates density (\( \rho \)), mass (\( m \)), and volume (\( V \)): \[ \rho = \frac{m}{V} \]
2. Rearrange the formula to solve for volume (\( V \)): \[ V = \frac{m}{\rho} \]
3. Identify the given values: mass \( m = 346 \) g and density \( \rho = 8.65 \) g/cm\(^3\).
4. Substitute the known values into the volume formula: \[ V = \frac{346}{8.65} \]
5. Perform the division to find the volume in cm\(^3\). This will give the volume of the object.