Final answer:
The calculated density of the aluminum cube is 0.8968 g/cm³, but there seems to be a discrepancy as the known density of aluminum is 2.70 g/cm³. This indicates a possible error or impurities in the cube.
Step-by-step explanation:
The density of a cube of aluminum that is 1.644 cm on an edge and has a mass of 4.0 grams is calculated using the formula for density, which is mass divided by volume. The volume of a cube (V) is found by cubing the edge length. Hence, V = 1.644 cm x 1.644 cm x 1.644 cm = 4.46 cm³. The density (ρ) of the cube is then calculated as ρ = mass/volume = 4.0 g/4.46 cm³ = 0.8968 g/cm³. However, we know that the density of aluminum is 2.70 g/cm³, which is a substantially higher value. This discrepancy could suggest an error in the mass measurement or that the cube may not be solid aluminum or may contain impurities.