The volume of a pyramid is the one-third of the product of the area of the base and the height of the pyramid.
V = (1/3)Ah
where
A = area of base
h = height of the pyramid
The base of this pyramid is a hexagon.
The area of a regular hexagon is
A = (1/2)pa,
where
p = perimeter of the base
a = apothem
The perimeter of the hexagon is 6 * 6 ft = 36 ft.
The apothem is shown in the figure and is 5.2 ft.
Area of base: (1/2)pa = (1/2)(36 ft)(5.2 ft) = 93.6 ft^2
Volume = (1/3)Ah = (1/3)(93.6 ft^2)(10.8 ft)
Volume = 336.96 ft^3
Answer: 337 ft^3
