The density of copper metal is 8.95 g $cm^{−3}$. If the radius of the copper atom is 127.8 pm, is the copper unit cell a simple cubic, a body-centred cubic or a face-centred cubic? (Given At.mass of Cu = 63.54 g $mol^{−1}$ and $N_A = 6.02 × 10^{23} mol^{−1}$)

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