A parallelopiped is formed by planes drawn through the points `(1, 2, 3) and (9, 8, 5)` parallel to the coordinate planes, then which of the following Is not length of an edge of this rectangular parallelopiped?

Options

A. `2`
B. `4`
C. `6`
D. `8`

Answer

To solve the problem, we need to determine the lengths of the edges of a rectangular parallelepiped formed by the points (1, 2, 3) and (9, 8, 5). The edges of the parallelepiped will be parallel to the coordinate planes.

### Step-by-Step Solution:

1. **Identify the Coordinates**:
We have two points given:
- Point A: (1, 2, 3)
- Point B: (9, 8, 5)

2. **Calculate the Lengths of the Edges**:
The lengths of the edges of the parallelepiped can be calculated using the differences in the x, y, and z coordinates of the two points.

- **Length along the x-axis**:
\[ \text{Length}_x = |x_2 - x_1| = |9 - 1| = 8 \]

- **Length along the y-axis**:
\[ \text{Length}_y = |y_2 - y_1| = |8 - 2| = 6 \]

- **Length along the z-axis**:
\[ \text{Length}_z = |z_2 - z_1| = |5 - 3| = 2 \]

3. **List the Edge Lengths**:
The lengths of the edges of the parallelepiped are:
- Length along x-axis: 8
- Length along y-axis: 6
- Length along z-axis: 2

4. **Identify Which Length is Not an Edge**:
We need to determine which of the given options is not one of the lengths calculated (8, 6, or 2). If the options provided include a number that is not one of these lengths, that number is the answer.

5. **Conclusion**:
If the options provided are 8, 6, 2, and one additional number (for example, 4), then the answer is 4, as it is not one of the lengths of the edges of the parallelepiped.

### Final Answer:
The length that is **not** an edge of the rectangular parallelepiped is **4**.