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 #4 #, and its base has a corner with an angle of #(3 pi)/8 #. What is the pyramid's surface area?
1 Answer
Dec 6, 2017
T S A = 80.7519
Explanation:
AB = BC = CD = DA = a = 4
Height OE = h = 8
OF = a/2 = 1/2 = 2
Area of
Lateral surface area
diagonal
#OB = d_2/2 = BCsin (C/2)=4sin((3pi)/16)= 2.2223
#OC = d_1/2 = BC cos (C/2) = 4* cos ((3pi)/16) = 3.3259
Area of base ABCD
T S A
T S A