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3 August, 02:30

If the volume of the pyramid shown is 108 inches cubed, what is the area of its base? A pyramid with a height of 8 inches. 4 inches squared 12 inches squared 24 inches squared 36 inches squared

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  1. 3 August, 04:43
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    36in²

    Step-by-step explanation:

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

    Step one

    The formula for the volume of a square based pyramid is

    V=a²h/3

    Where a = side of base

    h = height

    Given data

    Volume = 108in³

    Height h = 8 in

    We can solve for the base a by substituting our data

    108 = a² * 8/3

    a² = (108*3) / 8

    a² = 40.5

    a = √40.5

    a = 6.36in

    To the nearest whole number

    a = 6in

    The area of the square based = 6*6

    = 36in²
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