Answer
1. Spherical Atom Assumption
2. Close Packing
3. Homogeneous Distribution
4. Neglecting Quantum Effects
Work Step by Step
1. Spherical Atom Assumption: I assumed that the gold atom can be approximated as a perfect sphere, which may not be entirely accurate but simplifies the calculation.
2. Close Packing: I assumed that the atoms are closely packed in a cubic arrangement, which may not account for the actual crystalline structure of gold.
3. Homogeneous Distribution: I assumed a uniform density and distribution of gold atoms throughout the cube, without considering any possible voids or defects.
4. Neglecting Quantum Effects: The atomic scale is subject to quantum effects, which are not considered in this classical volume estimation.
