the base of the pyramid in the diagram is a regular hexagon. the length of each side of the hexagon is 6 ft…

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 ft². what is the volume of the pyramid? round your answer to the nearest cubic foot.

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 ft². what is the volume of the pyramid? round your answer to the nearest cubic foot.

Answer

Explanation:

Step 1: Recall the volume formula for a pyramid

The volume ( V ) of a pyramid is ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ).

Step 2: Substitute the given values into the formula

Given base area ( = 93.5 , \text{ft}^2 ) and height ( = 6 , \text{ft} ),
( V = \frac{1}{3} \times 93.5 \times 6 ).

Answer:

187 ft³