Question

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?

Answer 1

Answer:The answer is 187 ft to the 3 power

Answer 2

The volume of the pyramid is
`V=187\ ft^(3)`

Explanation:

we know that

The volume of the pyramid is equal to

`V=(1)/(3)BH`

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

`B=93.5\ ft^(2)`

`H=6\ ft`

substitute

`V=(1)/(3)(93.5)(6)=187\ ft^(3)`