An element crystallizes in a structure such that the unit cell is a cube with one atom at each corner and two atoms on its body diagonal. If the volume of this unit cell is $24 \times 10^{-24} \, cm^3$ and the density of the element is $7.2 \, g \, cm^{-3}$,calculate the number of atoms present in $200 \, g$ of the element.

• A
  $3.4722 \times 10^{24} \, \text{atoms}$
• B
  $4.3622 \times 10^{24} \, \text{atoms}$
• C
  $2.6782 \times 10^{24} \, \text{atoms}$
• D
  $1.4722 \times 10^{20} \, \text{atoms}$