Aluminum has a density of 2.70 g/cm^3. What is the mass of a block of aluminum with a volume of 15.0 cm^3?

• A. 4.05 g
• B. 2.70 g
• C. 17.7 g
• D. 40.5 g

Answer: (D)

Verified step by step guidance

1. Identify the given quantities: density (\( \rho \)) of aluminum is 2.70 g/cm\^3 and volume (\( V \)) of the block is 15.0 cm\^3.
2. Recall the formula that relates mass (\( m \)), density (\( \rho \)), and volume (\( V \)): \[ m = \rho \times V \]
3. Substitute the given values into the formula: \[ m = 2.70 \text{ g/cm}^3 \times 15.0 \text{ cm}^3 \]
4. Multiply the density by the volume to find the mass of the aluminum block.
5. Express the final answer with the correct units (grams) and check that it makes sense given the density and volume.