Answer:
2120 ft³
Explanation:
You want the volume of a hexagonal pyramid with side length 12 ft and height 17 ft.
Base area
The area of the base is given by the formula ...
A = (3/2)√3·s² . . . . where s is the side length
A = (3/2)√3·(12 ft)² = 216√3 ft²
Volume
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
The volume of this pyramid is ...
V = 1/3(216√3 ft²)(17 ft) ≈ 2120 ft³
The volume of the solid is about 2120 cubic feet.
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