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28 February, 08:00

A regular hexagonal pyramid has a base area 166.28 square feet, slant height of 9.8 feet, and a surface area of 401.48 square feet, find side length of the base

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  1. 28 February, 10:34
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    This is the concept of surface area of the solid figures, we are required to find the length of the side of a hexagonal base pyramid.

    The base area is given by 166.28 ft^2.

    This implies that the base area of the polygon is 166.28 ft^2

    To get the length of the sides we proceed as follows;

    Area of hexagon is given by:

    Area = (a) [3sqrt3]/2

    where a is the side length

    this can be written as:

    Area=2.6a^2

    Hence;

    2.6a^2=166.28

    dividing both sides by 2.6 we get:

    a^2=64.00012

    thus a=sqrt (64.0012) = 8.000075 ft

    therefore the side length is 8 ft
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