Lead has an atomic radius of 0.181 nm. It crystallizes with a faced-centered cubic cell. The length of a side of the cell is 0.5119 nm. What is the packing factor of the Lead? Answer should be in percentage. The right answer is 74.0677% but i don't know how to solve it

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Q: With Solution

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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.