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

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

1. Calculate the area of the regular polygon by using its apothem (the perpendicular distance from the center to a side) and its side length. We can use the formula: Area = (apothem * perimeter) / 2, where perimeter is equal to the number of sides multiplied by the side length.

2. Determine the height of the triangular prism, which is the distance between the two parallel bases.

3. Calculate the volume of the triangular prism by using the formula: Volume = (base area * height) / 2, where base area is equal to the area of the regular polygon.

Here's the implementation in Go:

main.go
package main

import (
	"fmt"
	"math"
)

func main() {
	numSides := 6 // number of sides in regular polygon
	sideLength := 5.0 // length of each side
	apothem := sideLength / (2 * math.Tan(math.Pi/float64(numSides))) // calculate apothem
	polygonArea := (apothem * float64(numSides) * sideLength) / 2 // calculate area of polygon
	prismHeight := 10.0 // height of triangular prism
	prismVolume := (polygonArea * prismHeight) / 2 // calculate volume of triangular prism
	fmt.Printf("Volume of regular polygon inscribed in triangular prism is: %.2f", prismVolume)
}
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In this code, we first calculate the apothem of the regular polygon using the given number of sides and side length. Then, we use the apothem to calculate the area of the polygon. Next, we determine the height of the triangular prism, and finally, we use the area and height to calculate the volume of the prism. The output will be the volume of the regular polygon inscribed in the triangular prism.