Question

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. $\frac{a^{3}}{27}$
• B. $\frac{a^{3}}{64}$
• C. $\frac{a^{3}}{2 \sqrt{2}}$
• D. $\frac{a^{3}}{8}$

Answer 1

Answer: (D)

Volume of cube $=a^{3}$ , body centred atom can share to $8$ such cubes. Hence volume common to cube $1 \, and \, 2$ is one-eighth of its volume.