A right prism has a hexagonal base with an area of 80 cm² and a height of 12 cm. Find the lateral surface area.
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Correct answer: D
Explanation
Area of regular hexagonal base = (3√3 / 2) × side2 = 80 cm²
Side (s) = √(160 / 3√3) = √(160 / 5.196) = 5.55 cm
Perimeter of base (P) = 6 × side = 6 × 5.55 = 33.33 cm
Lateral surface area (LSA) = perimeter × height = 33.33 × 12 = 400 cm²