find the volume of a regular polygon inscribed in a triangular prism in javascript

To find the volume of a regular polygon inscribed in a triangular prism in JavaScript, we need to follow a few steps:

  1. Define the necessary variables such as the number of sides of the polygon, the length of each side, the height and the base of the triangular prism.
  2. Calculate the apothem (distance from the center of the polygon to the midpoint of a side) using the formula: apothem = (side_length/2) / tan(180/sides)
  3. Calculate the area of the base polygon using the formula: polygon_area = 0.5 * apothem * side_length * sides
  4. Calculate the volume of the prism using the formula: prism_volume = (1/3) * base * height

Here is the code to implement the above steps:

index.tsx
const sides = 4; //number of sides of regular polygon
const side_length = 5; //length of side of regular polygon
const height = 10; //height of triangular prism
const base = 20; //base of triangular prism

const apothem = (side_length/2) / Math.tan(Math.PI / sides); //calculating apothem of regular polygon

const polygon_area = 0.5 * apothem * side_length * sides; //calculating area of regular polygon

const prism_volume = (1/3) * polygon_area * height * base; //calculating volume of triangular prism with base as regular polygon

console.log("Volume of regular polygon inscribed in triangular prism is: ", prism_volume); //outputs the volume of the triangular prism
672 chars
13 lines

Note: In the above example, we have assumed a regular polygon with 4 sides (i.e., a square), a side length of 5 units, a triangular prism with a height of 10 units and a base of 20 units. You can change these values as per your requirements.

gistlibby LogSnag