A) \[24\sqrt{2}{{r}^{3}}\]
B) \[16\sqrt{2}{{r}^{3}}\]
C) \[12\sqrt{2}{{r}^{3}}\]
D) \[\frac{64}{3\sqrt{3}}{{r}^{3}}\]
Correct Answer: A
Solution :
Height of unit cell \[=4r\sqrt{\frac{2}{3}}\] Volume of unit cell = Height \[\times \] Base area \[=4r\sqrt{\frac{2}{3}}\times 6\times \frac{\sqrt{3}}{4}\times 4{{r}^{2}}=24\sqrt{2}{{r}^{3}}\]
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