A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #8 #, its base has sides of length #6 #, and its base has a corner with an angle of #(3 pi)/4 #. What is the pyramid's surface area?
Surface area of pyramid with rhombus base = 127.9839
Opposite base angles of the rhombus are
Area of Rhombus base
Height of one side surface
Area of 4 sides of pyramid
Surface area of pyramid = base area + 4 side areas