An oak board has a mass of 2.40 kg and a volume of 3.00 × 10^3 cm^3. What is the density of the oak board?

• A. 0.0800 g/cm^3
• B. 0.800 g/cm^3
• C. 1.25 g/cm^3
• D. 8.00 g/cm^3

Answer: (B)

Verified step by step guidance

1. Identify the formula for density, which is given by \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
2. Convert the mass from kilograms to grams because the volume is given in cubic centimeters and density is typically expressed in g/cm\(^3\). Use the conversion \$1\ \text{kg} = 1000\ \text{g}$, so multiply the mass by 1000.
3. Check the volume units to ensure they are in cubic centimeters (cm\(^3\)). The volume is already given as \$3.00 \times 10^{3}\( cm\)^3$, so no conversion is needed.
4. Substitute the converted mass and the volume into the density formula: \(\text{density} = \frac{\text{mass in grams}}{\text{volume in cm}^3}\).
5. Perform the division to find the density in g/cm\(^3\). This will give you the density of the oak board.