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The fraction of total volume occupied by atoms in a simple cube isA. `(pi)/(6)`B. `(pi)/(3sqrt2)`C. `(pi)/(4sqrt2)`D. `(pi)/(4)`

Answer» Correct Answer - A
For simple cube,
`"Radius (r)"=(a)/(2)" [a = edge length]"`
`"Volume of the atom"=(4)/(3)pi((a)/(2))^(3)`
`therefore" Packing fraction"=((4)/(4)pi((a)/(2))^(3))/(a^(3))=(pi)/(6)`


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