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    Question

    The base of a right prism is a regular hexagon of side 5

    cm. If its height is 12 √3 cm, then its volume (in cm²) is:
    A 1800 Correct Answer Incorrect Answer
    B 900 Correct Answer Incorrect Answer
    C 1350 Correct Answer Incorrect Answer
    D 675 Correct Answer Incorrect Answer

    Solution

    Base area = Area of hexagonal is equal to area of 6 equilateral triangle = 6 × (√3/4) × side2 ⇒ Base area = 6 × (√3/4) × 52 ⇒ Base area = 150 × (√3/4) ⇒ Volume = 150 × (√3/4) × 12√3 ⇒ Volume = (1800 × 3)/4 ⇒ Volume = 1350 cm3

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