Chemistry - Solid State Question with Solution | TestHub

Volume of the metal = $\frac{\text{Mass}}{\text{Density}}=\frac{100}{10}=10{\text{ cm}}^3$

Edge length of unit cell, $a=100\text{ pm}=10^{-8}\text{ cm}$

Volume of one unit cell = $a^3=(10^{-8}{)}^3=10^{-24}{\text{ cm}}^3$

Number of unit cells = $\frac{\text{Total volume}}{\text{Volume of one unit cell}}=\frac{10}{10^{-24}}=1\times 10^{25}$

Answer: $1\times 10^{25}$