Boolean operations with faces

Dear all,

I am new open cascade user and I need to cut and fuse face. I think it's easy for an expert. I need to find how cut empty solid composed of faces by another one and obtained the same result as if it was a solid.

I tried to use the cut and the fuse functions but for the first one only the cutted shape appears with no change and when using the second one the two shapes are screen.How remove automatically faces inside the fused shape and remove the cut part of the cutted shape?

Thank you in advance for your answers