The packing fraction of a simple cubic structure is `(pi)/(6)`. Prove.

Explanation

To prove that the packing fraction of a simple cubic structure is \(\frac{\pi}{6}\), we will follow these steps:

### Step 1: Understand the Definition of Packing Fraction
The packing fraction (PF) is defined as the ratio of the volume occupied by the atoms in a unit cell to the total volume of the unit cell. Mathematically, it can be expressed as:
\[ \text{Packing Fraction} = \frac{\text{Volume occupied by atoms}}{\text{Volume of the unit cell}} \]

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