# 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 #7 #, its base has sides of length #9 #, and its base has a corner with an angle of #(2 pi)/3 #. What is the pyramid's surface area?

T S A = 219.9389

AB = BC = CD = DA = a = 9

Height OE = h = 7

OF = a/2 = 9/2 = 4.5

Area of

Lateral surface area

Area of base ABCD

T S A

T S A

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The surface area of the pyramid is ( 81\sqrt{3} + 54\sqrt{3} = 135\sqrt{3} ) square units.

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