To solve this problem, we need to visualize how the unfolded shapes (net) can be folded into the specified box, which has a circular cutout on two opposite faces.

1. **Understanding the Box Structure**: The box is cubical but without a top, meaning it has five faces. The two opposite faces have circular cutouts.

2. **Analyzing the Options**:
- **(A)**: Looks like two circles on adjacent sides. This won't work.
- **(B)**: Has two circles on opposite sides. This could potentially form the box with the right cuts.
- **(C)**: Similar to (B) but the circles do not align oppositely. This won't work.
- **(D)**: Circles are not opposite and don't align correctly. This won't work.
- **(E)**: Has circles on the same sides that wouldn't match the box structure. This won't work.

**Conclusion**: The shape that can be folded to form the box with a circle removed from each of the two opposite faces is **(B)**.