Final answer:
The density of the aluminum piece with a mass of 270 grams and volume of 100 cm³ is 2.7 g/cm³, which is option A.
Step-by-step explanation:
The density of a substance is calculated as its mass divided by its volume. Given a mass of 270 grams and a volume of 100 cm³ for a piece of aluminum, we can determine the density by the formula density = mass/volume. Therefore, the density of this piece of aluminum is 270 g / 100 cm³ = 2.7 g/cm³. This matches the known density of aluminum, which is approximately 2.7 g/cm³, indicating that option A) 2.7 g/cm³ is the correct answer. This density is considerably less than that of gold, which is about 19.32 g/cm³.