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A sample of metal was determined to have a density of 8.96 g/cm3. The metal crystallizes in a face-centered cubic cell and using X-ray diffraction the edge length was measured to be 362 pm. Determine the atomic weight, atomic radius, and identity of the metal.

A sample of metal was determined to have a density of 8.96 g/cm³. The metal crystallizes in a face-centered cubic cell and using X-ray diffraction the edge length was measured to be 362 pm. Determine the atomic weight, atomic radius, and identity of the metal.