给定立方体的一侧a 。任务是找到立方体对角线的长度。
例子:
Input : a = 3
Output : 5.19615
Input : a = 6
Output : 10.3923
公式 :
Length of diagonal of the cube = sqrt(3) * side
证明 :
Use Pythagorean Theorem,
In triangle CED,
CE2 = CD2 + DE2
l2 = a2 + a2 ———>(1)
In triangle CFE,
CF2 = CE2 + EF2
L2 = l2 + a2
use l2 value from equation(1),
L2 = a2 + a2 + a2
= 3*a2
L = sqrt(3) * a
C++
// CPP program to find length
// of the diagonal of the cube
#include
using namespace std;
// Function to find length
// of diagonal of cube
float diagonal_length(float a)
{
float L;
// Formula to Find length
// of diagonal of cube
L = a * sqrt(3);
return L;
}
// Driver code
int main()
{
float a = 5;
// Function call
cout << diagonal_length(a);
return 0;
}
Java
// Java program to find length
// of the diagonal of the cube
class GFG
{
// Function to find length
// of diagonal of cube
static float diagonal_length(float a)
{
float L;
// Formula to Find length
// of diagonal of cube
L = a * (float)Math.sqrt(3);
return L;
}
// Driver Code
public static void main (String[] args)
{
float a = 5;
// Function call
System.out.println(diagonal_length(a));
}
}
// This code is contributed by
// sanjeev2552
Python3
# Python3 program to find length
# of the diagonal of the cube
from math import sqrt
# Function to find length
# of diagonal of cube
def diagonal_length(a):
L = 0
# Formula to Find length
# of diagonal of cube
L = a * sqrt(3)
return L
# Driver code
a = 5
# Function call
print(diagonal_length(a))
# This code is contributed by Mohit Kumar
C#
// C# program to find length
// of the diagonal of the cube
using System;
class GFG
{
// Function to find length
// of diagonal of cube
static float diagonal_length(float a)
{
float L;
// Formula to Find length
// of diagonal of cube
L = a * (float)Math.Sqrt(3);
return L;
}
// Driver code
public static void Main()
{
float a = 5;
// Function call
Console.Write(diagonal_length(a));
}
}
// This code is contributed by Nidhi
PHP
Javascript
输出:
8.66025
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