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📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Así, el área favorable es $ \frac{2025}{2} $. El área total es 3600, entonces:

📌 P = \frac{2025/2}{3600} = \frac{2025}{7200} = \frac{81}{288} = \frac{9}{32}

📌 Simplificando:

📌 \frac{2025 \div 225}{7200 \div 225} = \frac{9}{32}

📌 \boxed{\dfrac{9}{32}}

📌 $$Question: A virologist is studying the structure of a viral capsid modeled as a regular hexagonal prism with six congruent equilateral triangle faces. If each edge of the prism is 4 cm, what is the total surface area of the prism in square centimeters?

📌 Solution: The surface area of a regular hexagonal prism consists of the area of the two hexagonal bases and the six triangular lateral faces. Each face is equilateral with side length $ s = 4 $ cm.

📌 Area of one equilateral triangle:

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