求矩形右楔形的体积

右楔形是具有平行边三角形的楔形。它具有两个侧基a和b ，顶边e和高度h 。任务是找到给定的矩形右楔块的体积。

例子：

Input: a = 2, b = 5, e = 5, h = 6 
Output: Volume = 45.0
Input: a = 5, b = 4, e = 4, h = 6 
Output: Volume = 56.0 
 

方法：

Va是三角形金字塔的体积，即Va =(1/3)*三角形面积*(e – a)
三角形的面积=(1/2)* b * h
即Va =(1/3)*((1/2)*(b * h *(e – a)))
Vb是三棱柱的体积，即Vb =横截面积*长度(侧面)
即Vb =(1/2)*(b * h * a)

Total Volume = Va + Vb 
= (1 / 3) * ((1 / 2) * (b * h * ( e – a ))) + (1 / 2) * (b * h * a) 
= (1 / 6) * (b * h * (e – a)) + (1 / 2) * (b * h * a) 
= ((b * h) * (e – a) + 3 * b * h * a) / 6 
= (b * h * e – b * h * a + 3 * b * h * a) / 6 
= (b * h * e + 2 * b * h * a) / 6 
= (b * h / 6) * (2 * a + e) 
 

矩形右楔形的体积=(b * h / 6)*(2 * a + e)，其中a和b是侧基，e是上边缘，h是矩形右楔形的高度。
下面是上述方法的实现：

C++

// CPP program to find volume of rectangular right wedge
#include 
using namespace std;
 
// function to return volume
//of rectangular right wedge
double volumeRec(double a,double b,double e,double h)
{
     
    return (((b * h )/ 6)*(2 * a + e));
}
 
// Driver code
int main()
{
    double a = 2;
    double b = 5;
    double e = 5;
    double h = 6;
    printf("Volume = %.1f",volumeRec(a, b, e, h));
    return 0;
}
 
// This code contributed by nidhiva

Java

// Java implementation of the approach
class GFG {
 
    // Function to return the volume
    // of the rectangular right wedge
    static double volumeRec(double a, double b, double e, double h)
    {
        return (((b * h) / 6) * (2 * a + e));
    }
 
    // Driver code
    public static void main(String[] args) throws java.lang.Exception
    {
        double a = 2, b = 5, e = 5, h = 6;
        System.out.print("Volume = " + volumeRec(a, b, e, h));
    }
}

Python3

# Python3 implementation of the approach
 
# Function to return the volume
# of the rectangular right wedge
def volumeRec(a, b, e, h) :
     
    return (((b * h) / 6) * (2 * a + e));
 
 
# Driver code
if __name__ == "__main__" :
     
    a = 2; b = 5; e = 5; h = 6;
     
    print("Volume = ",volumeRec(a, b, e, h));
     
# This code is contributed by AnkitRai01

C#

// C# implementation of the approach
using System;
 
class GFG
{
 
    // Function to return the volume
    // of the rectangular right wedge
    static double volumeRec(double a, double b,
                            double e, double h)
    {
        return (((b * h) / 6) * (2 * a + e));
    }
 
    // Driver code
    public static void Main()
    {
        double a = 2, b = 5, e = 5, h = 6;
        Console.WriteLine("Volume = " + volumeRec(a, b, e, h));
    }
}
 
// This code is contributed by vt_m.

Javascript

// javascript program to find volume of rectangular right wedge
 
// function to return volume
//of rectangular right wedge
function volumeRec( a, b, e, h)
{
     
    return (((b * h )/ 6)*(2 * a + e));
}
 
// Driver code
    let a = 2;
    let b = 5;
    let e = 5;
    let h = 6;
 
    document.write("Volume = "+volumeRec(a, b, e, h).toFixed(1));
        
// This code is contributed by Rajput-Ji
 

输出：

Volume = 45.0