Intersection of Pyramid and Parallelepiped

This is an intersection of pyramid and a parallelepiped. I initially learned to draw this intersection on paper for architecture school, and I wanted to see it in 3D.

I modeled both the intersection and the individual solids.

The points coordinates are:

Pyramid:
A (166, 242, 0)
B (188, 312, 0)
C (124, 358, 0)
D (42, 280, 0)
E (104, 226, 0)
V (182, 96, 156)

Parallelepiped:
M (162, 96, 0)
N (178, 198, 0)
P (76, 78, 0)
R (58, 164, 0)