Chemistry - Solid State Question with Solution | TestHub

The number of unit cells in a given volume of a metal is given by the ratio of the total volume to the volume of one unit cell.

Total volume of metal = $1{\mathrm{cm}}^3$

Volume of one unit cell = $3.448\times 10^{-23}{\mathrm{cm}}^3$

Number of unit cells = $\frac{\text{Total volume}}{\text{Volume of one unit cell}}$

Number of unit cells = $\frac{1}{3.448\times 10^{-23}}$

Number of unit cells = $0.29002\times 10^{23}$

Number of unit cells = $2.9\times 10^{22}$

Answer: $2.9\times 10^{22}$