A point charge Q is kept at the intersection of (i) face diagonals (ii) diagonals of a cube of side a. What is the electric flux linked with the cube in (i) & (ii) ?

Explanation

To solve the problem of finding the electric flux linked with a cube when a point charge \( Q \) is placed at the intersection of (i) face diagonals and (ii) diagonals of the cube, we can use Gauss's law.

### Step-by-Step Solution:

#### Part (i): Charge at the Intersection of Face Diagonals

1. **Understanding the Setup**:
- We have a cube of side length \( a \).
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