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2 Answers
- sepiaLv 71 year agoFavorite Answer
Find the volume of the regular hexagonal pyramid.
Round your answer to the nearest thousandth of a cubic foot.
In the diagram, m∠ABC = 35°
Multiply the number of sides times the length of one side to calculate the perimeter. The perimeter of a regular hexagon with each side measuring 3 feet,
would be 18 feet.
Multiply the area of the hexagon by 2.
In this case, the area equals A ≈ 23.38
so you would double that to get 46.76.
Divide the result from Step 3 by the perimeter, found in Step 2,
to calculate the apothem.
Concluding this example, you would divide 46.76 by 18
to find the length of the apothem which equals about 2.6 feet.
The base of the regular hexagon consists of 6 equilateral triangles
each side measuring 3 feet. Hence the area of the base is 6*2.6
= 15.6 feet^2
Volume (V) = (3 * √3 * l² * h ) / 6