Consider a cube of body-centered cubic unit cell of edge length a. Now atom at the body centre can be viewed to be lying on the corner of another cube $2$ . Find the volume common to cube $1$ and cube $2$ .

• A

  $\frac{{\mathrm{a}}^3}{27}$
• B

  $\frac{{\mathrm{a}}^3}{64}$
• C

  $\frac{{\mathrm{a}}^3}{2\sqrt{2}}$
• Correct answer
  D

  $\frac{{\mathrm{a}}^3}{8}$

Hence, the correct answer is option: 'D'.