the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

Respuesta :

Answer:

The volume of the pyramid is [tex]V=187\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

[tex]B=93.5\ ft^{2}[/tex]

[tex]H=6\ ft[/tex]

substitute

[tex]V=\frac{1}{3}(93.5)(6)=187\ ft^{3}[/tex]

Answer:The answer is 187 ft to the 3 power