find the surface area of a regular polygon inscribed in a triangular prism in ruby

To find the surface area of a regular polygon inscribed in a triangular prism in Ruby, you can follow these steps:

  1. Define the necessary variables for the problem. Let's say we have a regular polygon inscribed in a triangular prism with n sides, each side having a length of s, and a height of h.
main.rb
n = ... # number of sides of the regular polygon
s = ... # length of each side
h = ... # height of the triangular prism
120 chars
4 lines
  1. Calculate the area of the regular polygon. To do this, you can use the formula:
main.rb
area_polygon = 0.25 * n * s**2 * (1 / Math.tan(Math::PI/n))
60 chars
2 lines
  1. Calculate the lateral surface area of the triangular prism. To do this, you can use the formula:
main.rb
lateral_surface_area_prism = 3 * n * s * h
43 chars
2 lines
  1. Add the area of the regular polygon and the lateral surface area of the triangular prism to get the total surface area of the solid.
main.rb
total_surface_area = area_polygon + lateral_surface_area_prism
63 chars
2 lines

Here's the complete code in Ruby:

main.rb
n = ... # number of sides of the regular polygon
s = ... # length of each side
h = ... # height of the triangular prism

area_polygon = 0.25 * n * s**2 * (1 / Math.tan(Math::PI/n))
lateral_surface_area_prism = 3 * n * s * h
total_surface_area = area_polygon + lateral_surface_area_prism

puts "The surface area of the regular polygon inscribed in a triangular prism is #{total_surface_area}."
393 chars
10 lines

gistlibby LogSnag