Occlusion Culling for Grid Aligned Cells

Question

Given:

1. A 3d, axis aligned grid of cells with side length L.
2. A plane with start position, side L and a axis aligned normal;
3. A arbitrary positioned/rotated camera with variable vertical field of view

I need to check what cells lies completely behind the plane

Desired Result:

• Side View
• Camera View

I don't know if it is relevant, but in my case, the plane start/end components will always be aligned with the grid, with exception of the component its normal is pointing to; The exemple images show a plane with normal (0, 0, -1) so the x and y components are aligned, but not z;