The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13 inches. The height of the prism is 21 inches. Find the surface area of the prism.
1 answer:
Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
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