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

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