A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?

Since there are four metal atoms in one unit cell, the unit cell is fcc type. For fcc unit cell, radius r = 0.3535a, where a is the edge length of the unit cell. Hence, r = 0.3535 × 361 pm = 127.6 pm. Thus, the radius of one atom is 127.6 pm.