In a sample of gold, the density is 19.32 g/mL and the edge length is calculated to be 408 pm by an X-ray crystallography experiment.  Based on this information, what type of unit cell does gold form? Gold has one of the cubic crystal unit cells. (i.e. simple cubic, bcc, fcc).   Please include clear steps. I really want to learn how to do these type of problems :)

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Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.