Aluminium crystallizes in an fcc structure. Atomic radius of the metal is 125 pm. What is the length of the side of the unit cell of the metal?

Explanation

To solve the problem of finding the length of the side of the unit cell of aluminum, which crystallizes in a face-centered cubic (FCC) structure, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the FCC Structure**:
- In an FCC structure, there are atoms located at each of the eight corners of the cube and one atom at the center of each of the six faces.

2. **Calculate the Total Number of Atoms in the Unit Cell (Z)**:
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