Chemistry - Solid State Question with Solution | TestHub

For a cubic unit cell, the length of the body diagonal is given by $\sqrt{3}a$, where $a$ is the edge length of the unit cell.

Given $a=300\text{pm}$.

Body diagonal = $\sqrt{3}\times 300\text{pm}$

Substituting $\sqrt{3}\approx 1.732$:

Body diagonal = $1.732\times 300\text{pm}=519.6\text{pm}$

Answer: $519.6\text{pm}$