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2 March, 19:19

The volume of a pyramid with a square base, where the perimeter of the base is 7.3/text{ ft}7.3 ft and the height of the pyramid is 11.1/text{ ft}11.1 ft

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  1. 2 March, 21:16
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    12.21ft³

    Step-by-step explanation:

    This problem bothers on the mensuration of solid shapes, square based pyramid.

    Volume of square based pyramid is expressed as

    V = a² (h/3)

    Given data

    Perimeter p = 7.3ft

    Height h = 11.1ft

    Since the shape has a square base let us solve for the length of each side

    Perimeter of square p = a+a+a+a

    p = 4a

    7.3 = 4a

    a = 7.3/4

    a = 1.83ft

    Substituting our given data we have

    Volume = 1.83² (11.1/3)

    V = 3.3*3.7

    V = 12.21ft³
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