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%

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:

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// C++ implementation of the approach
#include <bits/stdc++.h>
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;
}
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// 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
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# 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
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// 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
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Output:
98%

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Improved By : mohit kumar 29, Code_Mech

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