如果将立方体的一侧增加给定百分比，则立方体的体积百分比增加

这里提供了一个多维数据集，它的一侧增加了给定的百分比。任务是找到立方体体积的百分比增加。
例子：

Input: x = 10
Output: 33.1%

Input: x = 50
Output: 237.5%

方法

• 在一个立方体中，所有边都是相等的，所以，
  长度=宽度=高度
• 让立方体的一面= a
• 给定的百分比增长= x％
• 因此，增加前的音量= a ^ 3
• 增加后，新边= a + ax / 100
• 因此，新体积= (a + ax / 100)^ 3 = a ^ 3 +(ax / 100)^ 3 + 3a ^ 3x / 100 + 3a ^ 3x ^ 2/10000
• 体积增加=新体积–旧体积= (a ^ 3 +(ax / 100)^ 3 + 3a ^ 3x / 100 + 3a ^ 3x ^ 2/10000)– a ^ 3 = (ax / 100)^ 3 + 3a ^ 3x / 100 + 3a ^ 3x ^ 2/10000
• 因此，音量增加百分比= (((ax / 100)^ 3 + 3a ^ 3x / 100 + 3a ^ 3x ^ 2/10000)/ a ^ 3)* 100 = ((x / 100)^ 3 + 3x / 100 + 3x ^ 2/10000)* 100 = x ^ 3/10000 + 3x + 3x ^ 2/100

下面是上述方法的实现：

C++

// C++ program to find percentage increase
// in the volume of the cube
// if a side of cube is increased
// by a given percentage
 
#include 
using namespace std;
 
void newvol(double x)
{
    cout << "percentage increase "
         << "in the volume of the cube is "
         << pow(x, 3) / 10000 + 3 * x
                + (3 * pow(x, 2)) / 100
         << "%" << endl;
}
 
// Driver code
int main()
{
    double x = 10;
    newvol(x);
    return 0;
}

Java

// Java program to find percentage increase
// in the volume of the cube
// if a side of cube is increased
// by a given percentage
import java.io.*;
 
class GFG
{
 
static void newvol(double x)
{
    System.out.print( "percentage increase "
    +"in the volume of the cube is "
        + (Math.pow(x, 3) / 10000 + 3 * x
                + (3 * Math.pow(x, 2)) / 100) );
                System.out.print("%");
}
 
// Driver code
public static void main (String[] args)
{
    double x = 10;
    newvol(x);
}
}
 
// This code is contributed by anuj_67..

Python3

# Python program to find percentage increase
# in the volume of the cube
# if a side of cube is increased
# by a given percentage
 
def newvol(x):
 
    print("percentage increase"
            "in the volume of the cube is ",
            ((x**(3)) / 10000 + 3 * x
                + (3 * (x**(2))) / 100),"%");
 
x = 10;
newvol(x);
 
# This code is contributed by PrinciRaj1992

C#

// C# program to find percentage increase
// in the volume of the cube
// if a side of cube is increased
// by a given percentage
using System;
 
class GFG
{
 
static void newvol(double x)
{
    Console.Write( "percentage increase "
    +"in the volume of the cube is "
        + (Math.Pow(x, 3) / 10000 + 3 * x
                + (3 * Math.Pow(x, 2)) / 100) );
                Console.Write("%");
}
 
// Driver code
public static void Main ()
{
    double x = 10;
    newvol(x);
}
}
 
// This code is contributed by anuj_67..

Javascript

// javascript program to find percentage increase
// in the volume of the cube
// if a side of cube is increased
// by a given percentage
function newvol( x)
{
    document.write("percentage increase "
         + "in the volume of the cube is "
         + (Math.pow(x, 3) / 10000 + 3 * x
                + (3 * Math.pow(x, 2)) / 100)
         + "%" );
}
 
// Driver code
    let x = 10;
    newvol(x);
     
// This code is contributed by gauravrajput1

输出：

percentage increase in the volume of the cube is 33.1%