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 #5 #, and its base has a corner with an angle of #(3 pi)/4 #. What is the pyramid's surface area?
1 Answer
Dec 6, 2017
Total Surface Area #T S A = 101.4925
Explanation:
AB = BC = CD = DA = a = 5
Height OE = h = 8
OF = a/2 = 1/2 = 2.5
Area of
Lateral surface area
diagonal
#OB = d_2/2 = BCsin (C/2)=5sin((3pi)/8)= 4.6194
#OC = d_1/2 = BC cos (C/2) = 5* cos ((3pi)/8) = 1.9134
Area of base ABCD
T S A
T S A