Question

The volume of the solids in a unit cell is given by ______

(a) π/6

(b) π/4

(c) π/6

(d) 2π/3

I had been asked this question during an interview for a job.

I want to ask this question from Packing of Uniform Spheres topic in chapter Preliminary Definitions and Relationships of Geotechnical Engineering I

Answer 1

Right option is (c) π/6

The best explanation: Consider a unit cell,

Volume of each spherical particle = (π/6)*d^3

Total volume of container=1*1*1=1

No. of solids in the container=(1/d)*(1/d)*(1/d)=(1/d^3)

Volume of the solids Vs=(π/6)*d^3*(1/d^3)=(π/6).