Calculate the number of unit cells in 1 ~cm ^3 volume of metal if unit cell edge length is 1.25 10⁻⁸ ~cm

Step-by-step solution

The volume of a single cubic unit cell with edge length a = 1.25 10⁻⁸ , cm is calculated as V_ cell = a^3 = (1.25 10⁻⁸)^3 = 1.953125 10⁻²⁴ , cm ^3 . The number of unit cells in 1 , cm ^3 of metal is given by N = 1 V_ cell = 1 1.953125 10⁻²⁴ = 5.12 10²³ . This result corresponds to option C .