# Find the volume of rectangular right wedge

• Last Updated : 18 Mar, 2021

A right wedge is a wedge with parallel side triangles. It have two side bases a and b, top edges e and height h. The task is to find the volume of the given rectangular right wedges. Attention reader! All those who say programming isn't for kids, just haven't met the right mentors yet. Join the  Demo Class for First Step to Coding Coursespecifically designed for students of class 8 to 12.

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Examples:

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

Approach: Va is the volume of triangular pyramid i.e. Va = (1 / 3) * area of triangle * (e – a)
Area of triangle = (1 / 2) * b * h
i.e Va = ( 1 / 3 ) * (( 1 / 2 ) * ( b * h * (e – a)))
Vb is a volume of triangular prism i.e. Vb = area of cross section * length(side)
i.e. 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)

Volume of the rectangular right wedge = (b * h / 6) * (2 * a + e) where a and b are the side bases, e is the top edge and h is the height of the rectangular right wedge.
Below is the implementation of the above approach:

## 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

 ``
Output:
`Volume = 45.0`

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