Final answer:
The density of aluminum is 2.7 g/cm³, and to convert this to kg/m³, we multiply by 1000 (to convert grams to kilograms) and by 1,000,000 (to convert cubic centimeters to cubic meters), resulting in 2700 kg/m³. Option a
Step-by-step explanation:
The density of aluminum provided is 2.7 g/cm³. To convert this density into kilograms per cubic meter (kg/m³), we must consider that 1 g is equal to 0.001 kg and 1 cm³ is equal to 0.000001 m³. Therefore, the conversion from g/cm³ to kg/m³ involves multiplying the density value by a factor of 1000 for the mass and a factor of 1,000,000 for the volume.
When you do this, the g units convert to kg, and the cm³ units convert to m³, giving us 2.7 g/cm³ × 1000 kg/g × 1,000,000 cm³/m³ = 2700 kg/m³. Option a