Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = [tex]6\times\frac{1}{2}\ bh[/tex]
[tex]$=6\times\frac{1}{2}\times 6.58 \times 5.7[/tex]
Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.
