Chemistry - Solid State Question with Solution | TestHub

Volume of one unit cell is given by $V=a^3$

Substituting the given edge length $a=4.0\times 10^{-8}\mathrm{cm}$:

$V=(4.0\times 10^{-8}{)}^3=64\times 10^{-24}{\mathrm{cm}}^3$

Number of unit cells in $1{\mathrm{cm}}^3$ volume is $\frac{\text{Total volume}}{\text{Volume of one unit cell}}$

Number of unit cells $=\frac{1}{64\times 10^{-24}}=0.015625\times 10^{24}=1.56\times 10^{22}$

Answer: $1.56\times 10^{22}$