Final answer:
To find the volume of a piece of aluminum with a mass of 8.1 grams and a density of 2.7 g/cm³, calculate the volume by dividing mass by density, giving you a volume of 3 cm³.
Step-by-step explanation:
The density of aluminum is given as 2.7 g/cm³. If the mass of a piece of aluminum is 8.1 grams, you can calculate its volume using the formula density (p) = mass (m) / volume (V). In this case, you would rearrange the formula to solve for volume, resulting in V = m / p. Plugging in the known values, we get V = 8.1 g / 2.7 g/cm³.
After performing the division, we find the volume of the piece of aluminum is 3 cm³. Thus, the piece of aluminum has a volume of 3 cubic centimeters for its mass of 8.1 grams when the density is 2.7 g/cm³.