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Home » Therefore, the population approaches \(\boxed500\) as \( t \to \infty \). - ToelettAPP

Therefore, the population approaches \(\boxed500\) as \( t \to \infty \). - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \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:

📌 A_{\text{triangle}} = \frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \cdot 16 = 4\sqrt{3} \text{ cm}^2

📌 Total area of six lateral triangles:

📌 \cdot 4\sqrt{3} = 24\sqrt{3} \text{ cm}^2

📌 Area of one regular hexagon (composed of 6 equilateral triangles):

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