# Percentage increase in the volume of cuboid if length, breadth and height are increased by fixed percentages

Given a cuboid and three integers L, B and H. If the length of the cuboid is increased by L%, breadth is increased by B% percent and height is increased by H% percent. The task is to find the percentage increase in the volume of the cuboid.

Examples:

Input: L = 50, B = 20, H = 10
Output: 98%

Input: L = 10, B = 20, H = 30
Output: 71.6%

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: Suppose the original length, breadth and height of the cuboid be l, b and h respectively. Now, the increased length will be (l + ((L * l) / 100)) i.e. increasedLength = l * (1 + (L / 100)). Similarly, increased breadth and height will be increasedBeadth = b * (1 + (B / 100)) and increasedHeight = h * (1 + (H / 100)).
Now, calculate originalVol = l * b * h and increasedVol = increasedLength * increasedBreadth * increasedHeight.
And, the percentage increase can be found as ((increasedVol – originalVol) / originalVol) * 100

(((l * (1 + (L / 100)) * b * (1 + (B / 100)) h * (1 + (H / 100))) – (l * b * h)) / (l * b * h)) * 100
((l * b * h * (((1 + (L / 100)) * (1 + (B / 100)) * (H / 100)) – 1)) / (l * b * h)) * 100
(((1 + (L / 100)) * (1 + (B / 100)) * (1 + (H / 100))) – 1) * 100

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach ` `#include ` `using` `namespace` `std; ` ` `  `// Function to return the percentage increase ` `// in the volume of the cuboid ` `double` `increaseInVol(``double` `l, ``double` `b, ``double` `h) ` `{ ` `    ``double` `percentInc = (1 + (l / 100)) ` `                        ``* (1 + (b / 100)) ` `                        ``* (1 + (h / 100)); ` `    ``percentInc -= 1; ` `    ``percentInc *= 100; ` ` `  `    ``return` `percentInc; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``double` `l = 50, b = 20, h = 10; ` `    ``cout << increaseInVol(l, b, h) << ``"%"``; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java implementation of the approach ` `class` `GFG ` `{ ` `     `  `// Function to return the percentage increase ` `// in the volume of the cuboid ` `static` `double` `increaseInVol(``double` `l,    ` `                            ``double` `b,  ` `                            ``double` `h) ` `{ ` `    ``double` `percentInc = (``1` `+ (l / ``100``)) *  ` `                        ``(``1` `+ (b / ``100``)) *  ` `                        ``(``1` `+ (h / ``100``)); ` `    ``percentInc -= ``1``; ` `    ``percentInc *= ``100``; ` ` `  `    ``return` `percentInc; ` `} ` ` `  `// Driver code ` `public` `static` `void` `main(String[] args) ` `{ ` `    ``double` `l = ``50``, b = ``20``, h = ``10``; ` `    ``System.out.println(increaseInVol(l, b, h) + ``"%"``); ` `} ` `} ` ` `  `// This code is contributed by Code_Mech `

## Python3

 `# Python3 implementation of the approach ` ` `  `# Function to return the percentage increase ` `# in the volume of the cuboid ` `def` `increaseInVol(l, b, h): ` `    ``percentInc ``=` `((``1` `+` `(l ``/` `100``)) ``*`  `                  ``(``1` `+` `(b ``/` `100``)) ``*`  `                  ``(``1` `+` `(h ``/` `100``))) ` `    ``percentInc ``-``=` `1` `    ``percentInc ``*``=` `100` ` `  `    ``return` `percentInc ` ` `  `# Driver code ` `l ``=` `50` `b ``=` `20` `h ``=` `10` `print``(increaseInVol(l, b, h), ``"%"``) ` ` `  `# This code is contributed by Mohit Kumar `

## C#

 `// C# implementation of the approach ` `using` `System; ` ` `  `class` `GFG ` `{ ` `     `  `// Function to return the percentage increase ` `// in the volume of the cuboid ` `static` `double` `increaseInVol(``double` `l,  ` `                            ``double` `b,  ` `                            ``double` `h) ` `{ ` `    ``double` `percentInc = (1 + (l / 100)) *  ` `                        ``(1 + (b / 100)) *  ` `                        ``(1 + (h / 100)); ` `    ``percentInc -= 1; ` `    ``percentInc *= 100; ` ` `  `    ``return` `percentInc; ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main() ` `{ ` `    ``double` `l = 50, b = 20, h = 10; ` `    ``Console.WriteLine(increaseInVol(l, b, h) + ``"%"``); ` `} ` `} ` ` `  `// This code is contributed by Code_Mech `

Output:

```98%
```

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Improved By : mohit kumar 29, Code_Mech

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