First, we calculate for the total volume of aluminum. The volume of a cube is:
V = s * s * s = s^3
V = (2.70 cm)^3
V = 19.683 cm^3
Assuming atmospheric temperature, the density of aluminum is about 2.70 g / cm^3. Therefore the equivalent mass of aluminum is:
m = 19.683 cm^3 * 2.70 g / cm^3
m = 53.1441 g
The molar mass of aluminum is 27 g / mol. Therefore the number of moles is:
n = 53.1441 g / (27 g / mol)
n = 1.9683 mol
Given the number of moles, we can calculate for the number of atoms using Avogadro’s number.
atoms = 1.9683 mol * (6.022 * 10^23 atoms / mol)
atoms = 11.85 * 10^23 atoms (ANSWER)
