Answer:
[tex]916.11\:ft^{3}[/tex]
Step-by-step explanation:
Volume of the hexagonal pyramid = [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]
Here sides of hexagonal base = 9 ft
So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]
[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]
[tex]= 210.5[/tex]
Height is given, 13 ft
So, volume = [tex]1/3\times 210.5\times 13[/tex]
[tex]= 916.11\: ft^{3}[/tex]
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