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andreyandreev [35.5K]
3 years ago
6

Please help its due tomorrow​

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0

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

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