Answer:
93 Sq.ft
Step-by-step explanation:
Formula for total surface area of a cylinder is;
TSA = 2πr² + 2πrh
In the question, we have Half cylinder, thus; TSA for half cylinder is;
TSA_½ = (2πr² + 2πrh)/2
TSA_½ = πr² + πrh
r = 3/2 = 1.5 ft
h = 5 ft
Thus;
TSA_½ = π(1.5)² + π(1.5 × 5)
TSA_½ = 30.63 Sq.ft
Surface area of rectangular prism is;
SA = 2(lw + lh + wh)
We have;
l = 5 ft
h = 2 ft
w = 3 ft
Thus;
SA = 2((5 × 3) + (5 × 2) + (2 × 3))
SA = 2(15 + 10 + 6)
SA = 62 Sq.ft
Thus, surface area of treasury is;
S.A_t = TSA_½ + SA
S.A_t = 30.63 + 62
S.A_t = 92.63 approximately 93 Sq.ft
