Final answer:
The volume of 54 grams of aluminum, with a density of 2.7 g/cm³, is calculated to be 20 cm³.
Step-by-step explanation:
The question involves the calculation of volume using the density formula, where density (d) is defined as the mass (m) of an object divided by its volume (v). Given the density of aluminum is 2.7 g/cm³ and the mass of the aluminum is 54 grams, we use the formula d = m/v.
To find the volume of aluminum, we rearrange the formula to solve for v: v = m/d. Plugging in the values we get: v = 54 grams / 2.7 g/cm³, which equals 20 cm³. Therefore, the volume of 54 grams of aluminum is 20 cm³.
The formula for determining density is d = m/v, where d is the density, m is the mass, and v is the volume. The question asks for the volume of aluminum in cubic centimeters given its density of 2.7 g/cm³ and a mass of 54 grams. To find the volume, we can rearrange the formula to solve for v: v = m/d. Plugging in the values, we have v = 54 g / 2.7 g/cm³ = 20 cm³.