Chemistry - Solid State Question with Solution | TestHub

For a face-centered cubic (fcc) unit cell, the packing efficiency is $74\%$.

This means that $74\%$ of the total volume of the unit cell is occupied by the particles.

Volume of the unit cell $=6.4\times 10^{-23}{\mathrm{cm}}^3$

Total volume occupied by particles $=\frac{74}{100}\times 6.4\times 10^{-23}{\mathrm{cm}}^3$

$=0.74\times 6.4\times 10^{-23}{\mathrm{cm}}^3$

$=4.736\times 10^{-23}{\mathrm{cm}}^3$

Answer: $4.736\times 10^{-23}{\mathrm{cm}}^3$