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 #5 #, its base's sides have lengths of #1 #, and its base has a corner with an angle of #(5 pi)/6 #. What is the pyramid's surface area?
1 Answer
Dec 6, 2017
T S A = 10.5499
Explanation:
AB = BC = CD = DA = a = 1
Height OE = h = 5
OF = a/2 = 1/2 = 0.5
Area of
Lateral surface area
diagonal
#OB = d_2/2 = BCsin (C/2)=1sin((5pi)/12)= 0.9659
#OC = d_1/2 = BC cos (C/2) = 1* cos ((5pi)/12) = 0.2588
Area of base ABCD
T S A
T S A