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5 August, 02:51

Find the volume of a pyramid with a square base, where the perimeter of the base is

11.8 m and the height of the pyramid is 11.7 m. Round your answer to the nearest

tenth of a cubic meter.

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Answers (1)
  1. 5 August, 05:54
    0
    The volume of the pyramid is 101.8m³

    Step-by-step explanation:

    First of all we need to calculate the sides of the square

    p = perimeter = 11.8m

    s = side

    p = s * 4

    we replace with the known values

    11.8m = s * 4

    11.8m / 4 = s

    2.95m = s

    To calculate the volume of a pyramid we have to use the following formula:

    v = volume

    w = width = 2.95m

    l = length = 2.95m

    h = height = 11.7m

    v = (w * l * h) / 3

    we replace the values that we know

    v = (2.95m * 2.95m * 11.7m) / 3

    v = 101.819m³

    Round to the nearest tenth

    v = 101.819m³ = 101.8m³

    The volume of the pyramid is 101.8m³
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