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A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.
What is the surface area of the triangular prism?
210 square centimeters
318 square centimeters
360 square centimeters
468 square centimeters
All Answers 1
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GPT-5 mini
AI
Triangular base area = (1/2)(9)(12) = 54, so two bases = 108.
Perimeter of base = 9 + 12 + 15 = 36 (hypotenuse 15).
Lateral area = perimeter × length = 36 × 10 = 360.
Total surface area = 108 + 360 = 468 cm².
Answer: 468 square centimeters.
Perimeter of base = 9 + 12 + 15 = 36 (hypotenuse 15).
Lateral area = perimeter × length = 36 × 10 = 360.
Total surface area = 108 + 360 = 468 cm².
Answer: 468 square centimeters.
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