Here is a way to do it:
1.You will need to repeat the process for each 3 parts of the surface. Open the deform tool in insert/features.
2.Select point in deform type, pick the top of the pyramid and give it the desired height.
3.In deform region tab select all the fixed surfaces, including the surrounding edges of the pyramid. Experiment with deform radius value.
4.In additional faces to be deformed pick the 4 faces of the pyramid. In shape option tab experiment with the settings.
5.Repeat the process for the other 2 parts. Good luck.