Calculate the packing efficiency in a simple cubic lattice. 

Explanation

Edge length or side of a cube = a
radius of a particle = r
Particles touch each other along the edge.
`:. a= 2r`, Volume of the cell `= a^(3) = (2r)^(3) = 8r^(3)`
Simple cubic unit cell contains only 1 atoms
Volume occupied `=("volume of one atom")/("volume of the unit cell")xx100%`
`=((4)/(3)pi r^(3))/(8r^(3)) xx 100`
`=52.4%`