Intersecting Pyramids Edited
Two pyramids with 3 cm. square bases intersect. Their bases have the coordinates of (0,0,0), (3,0,0), (3,3,0) and (0,3,0). The pinnacle of one is at (1,1,3) and of the other is (2,2,4). The highest point of intersection is P(x,y,z). Calculate x + y + z to nearest 3 decimal places.