find the volume of a regular polygon circumscribed around a pyramid in ruby

main.rb
# Calculate the total surface area of the pyramid
sa_base = n * s * s / (4 * Math.tan(Math::PI / n))
sa_face = n * s * Math.sqrt(h * h + (s / (2 * Math.tan(Math::PI / n)))**2) / 2
sa_total = sa_base + sa_face
# Calculate the volume of the pyramid
volume_pyramid = sa_base * h / 3
# Calculate the volume of the polygon circumscribed around the pyramid
volume_polygon = sa_total * h / 3
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main.rb
def volume_of_polygon_circumscribing_pyramid(height, side_length, num_sides)
  sa_base = num_sides * side_length * side_length / (4 * Math.tan(Math::PI / num_sides))
  sa_face = num_sides * side_length * Math.sqrt(height * height + (side_length / (2 * Math.tan(Math::PI / num_sides)))**2) / 2
  sa_total = sa_base + sa_face
  volume_pyramid = sa_base * height / 3
  volume_polygon = sa_total * height / 3
  return volume_polygon
end
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