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:

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// 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;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// 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

chevron_right


Python3

filter_none

edit
close

play_arrow

link
brightness_4
code

# 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

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// 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

chevron_right


Output:

98%


My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.



Improved By : mohit kumar 29, Code_Mech



Article Tags :
Practice Tags :


Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.