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 #8 #, and its base has a corner with an angle of # pi/3 #. What is the pyramid's surface area?
1 Answer
Dec 6, 2017
T S A = 198.5344
Explanation:
AB = BC = CD = DA = a = 8
Height OE = h = 8
OF = a/2 = 8/2 = 4
Area of
Lateral surface area
diagonal
#OB = d_2/2 = BCsin (C/2)=8sin(pi/6)= 4
#OC = d_1/2 = BC cos (C/2) = 8* cos (pi/6) = 6.9282
Area of base ABCD
T S A
T S A