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    Question

    The base of a right prism is an equilateral triangle

    with each side measuring 4 cm. If the lateral surface area is 120 cm², find the volume (in cmᶟ) of the prism.
    A 30√3 Correct Answer Incorrect Answer
    B 40√3 Correct Answer Incorrect Answer
    C 10/3 Correct Answer Incorrect Answer
    D 20√3 Correct Answer Incorrect Answer

    Solution

    Lateral surface area of prism = Base perimeter x Height Base Perimeter is of equilateral triangle = 3a Height (h) 120 cm2 = 3a x h ... (i) 4×h =40cm2                                                                                                           h=10cm2 Volume of prism = Base Area x Height =√3/4 ×a2×h =√3/4 ×16×10 =40√3

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