# 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?

##### 1 Answer

Oct 11, 2017

Surface area of pyramid with rhombus base = **127.9839**

#### Explanation:

Opposite base angles of the rhombus are

**4.5922**

Similarly,

**11.0866**

Area of Rhombus base **25.4559**

Height of one side surface

As

Area of 4 sides of pyramid **102.588**

Surface area of pyramid = base area + 4 side areas

#=25.4559+102.588=**127.9839**