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 6 , its base's sides have lengths of 5 , and its base has a corner with an angle of ( pi)/6 . What is the pyramid's surface area?
1 Answer
Jun 28, 2018
Explanation:
Area of rombus base with each side
The rhombus base of pyramid has its semi-diagonals
Now, the sides of triangular lateral face of pyramid as given as
Each of 4 identical lateral triangular faces of pyramid has the sides
semi-perimeter of triangle,
Now, using heron's formula the area of lateral triangular face of pyramid
Hence, the total surface area of pyramid