An element crystallizes in an $fcc$ unit cell structure with an edge length of $200 \, pm$. If $200 \, g$ of the element contains $24 \times 10^{23}$ atoms, what is its density in $g/cm^3$?

  • A
    $3.12$
  • B
    $4.16$
  • C
    $3.92$
  • D
    $1.12$

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