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Home » Discover the Sharpest Adjectives Starting with H—Boost Your Vocabulary Instantly! - Appcentric

Discover the Sharpest Adjectives Starting with H—Boost Your Vocabulary Instantly! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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):

📌 A_{\text{hexagon}} = 6 \cdot \frac{\sqrt{3}}{4} s^2 = 6 \cdot 4\sqrt{3} = 24\sqrt{3} \text{ cm}^2

📌 But since only the lateral faces are counted in surface area (bases are internal or not exposed in separation), only the 6 triangular lateral faces contribute.

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