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23 April, 07:55

The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of the side of the base?

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  1. 23 April, 08:16
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    Volume of a pyramid is (length * width * height) / 3

    So we plug in the given information and solve. Let x = length and width since it's a square their measurements are the same.

    84 = (x * x * 7) or 84 = 7x²

    Divide both sides by 7 to isolate the squared variable.

    x² = 12

    Now square root both sides to isolate the variable

    x = √12 which simplifies to x = 2√3

    The measurements for the length and width of the base are 2√3 units or approximately 3.464 units.
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