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

Here's an implementation in TypeScript to find the volume of a regular polygon inscribed in a triangular prism:

index.ts
function findPolygonVolume(numSides: number, sideLength: number, baseLength: number, height: number): number {
  const polygonArea = (numSides * sideLength * sideLength) / (4 * Math.tan(Math.PI / numSides));
  const prismVolume = (baseLength * height) / 2;
  return polygonArea * prismVolume;
}
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This implementation takes in four inputs: numSides, which represents the number of sides of the regular polygon, sideLength, which represents the length of each side of the polygon, baseLength, which represents the length of the triangular prism's base, and height, which represents the height of the triangular prism.

The function calculates the area of the regular polygon using the formula (numSides * sideLength * sideLength) / (4 * Math.tan(Math.PI / numSides)), where Math.tan(Math.PI / numSides) calculates the tangent of the polygon's internal angle at each vertex, and 4 * Math.tan(Math.PI / numSides) calculates the area of each triangle formed by connecting a vertex to the center of the polygon.

The function then multiplies the polygon area by the volume of the triangular prism, which is calculated by prismVolume = (baseLength * height) / 2.

Finally, the function returns the product of these two values, giving the volume of the regular polygon inscribed in a triangular prism.