The volume of the unit cell that is a simple cubic is 1.1661622e⁻²⁰.
Volume is the space occupied by a three-dimensional object.
By the formula of volume of atom
[tex]\rm Volume(atom) = \dfrac{4}{3} \times \pi \times r^3\\Volume(atom) = \dfrac{4}{3} \times \pi \times (161 \times 10^-^2^3)^3\\Volume(atom) = 2.1574e^-^2^1[/tex]
There are total 4 atoms, in a FCC unit cell.
The total volume is
[tex]2.1574e-21 \times 4 = 8.6296e^-^2^1[/tex]
Volume of a unit cell will be
[tex]\dfrac{8.6296e-21}{0.74} = 1.1661622e^-^2^0[/tex]
Thus, the volume of the unit cell is [tex]\rm 1.1661622e^-^2^0[/tex]
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