如果立方体的一边增加给定的百分比，立方体体积增加的百分比

原文:https://www . geeksforgeeks . org/如果立方体的一面按给定的百分比增加，则立方体的体积增加百分比/

这里给定的是一个立方体，它的一边增加了一个给定的百分比。任务是找出立方体体积的增加百分比。 例:

Input: x = 10
Output: 33.1%

Input: x = 50
Output: 237.5%

接近T2】

  • 在立方体中，所有的边都是相等的，所以， 长度=宽度=高度
  • 让立方体的一边= a
  • 给定百分比增加= x%
  • 所以，成交量前增= a^3
  • 增加后，新边= a + ax/100
  • 所以，新卷=(a+ax/100)^3=a^3+(ax/100)^3+3a^3x/100+3a^3x^2/10000
  • 成交量增加=新量–旧量=(a^3+(ax/100)^3+3a^3x/100+3a^3x^2/10000)–a^3=(ax/100)^3+3a^3x/100+3a^3x^2/10000
  • 所以，成交量增加百分比=((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

以下是上述方法的实施:

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 <bits/stdc++.h>
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 语言(一种计算机语言，尤用于创建网站)

// 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..

Python 3

# 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..

java 描述语言

<script>
// 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
</script>

Output: 

percentage increase in the volume of the cube is 33.1%

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