计算四面体面积的程序-yiteyi-C++库

四面体就是一个底部为三角形的金字塔。它是一个实体，有四个三角形面，三个在侧面或侧面，一个在底部或底部，四个顶点或角。如果这些面都是全等的等边三角形，那么这个四面体就叫做正四面体。四面体的面积可通过以下公式计算：

null

Area = sqrt(3)*(side*side)

例如：

Input : side = 3Output : 15.5885Input : side = 20Output : 692.82

C++

                         // C++ Program to Calculate                       
                         // area of tetrahedron                       
                         #include<iostream>                       
                         #include<math.h>                       
                         using                                     namespace                                     std;                       
                                   
                         //Utility Function                       
                         double                                     area_of_tetrahedron(                                     int                                     side)                       
                         {                       
                                                 return                                     (                                     sqrt                                     (3)*(side*side));                       
                         }                       
           
                         //Driver Code                       
                         int                                     main()                       
                         {                       
                                                 int                                     side=3;                       
                                                 cout<<                                     "Area of Tetrahedron ="                       
                                                 << area_of_tetrahedron(side);                       
                         }                       
           
                         // This code is contributed by anant321.                       

JAVA

                         // Java Program to Calculate                       
                         // area of tetrahedron                       
                         import                                     java.io.*;                       
                         import                                     java.text.DecimalFormat;                       
           
                         class                                     GFG                       
                         {                       
                         // Utility Function                       
                         static                                     double                                     area_of_tetrahedron(                                     int                                     side)                       
                         {                       
                                                 return                                     (                                     double                                     )Math.round((Math.sqrt(                                     3                                     ) *                       
                                                 (side * side)) * 10000d) / 10000d;                       
                         }                       
           
                         // Driver Code                       
                         public                                     static                                     void                                     main(String args[])                       
                         {                       
                                                 int                                     side =                                     3                                     ;                       
                                                 System.out.print(                                     "Area of Tetrahedron = "                                     +                       
                                                 area_of_tetrahedron(side));                       
                         }                       
                         }                       
           
                         // This code is contributed by                       
                         // Manish Shaw(manishshaw1)                       

Python 3

                         # Python 3 Program to Calculate                       
                         # area of tetrahedron                       
                         import                                     math                       
           
                         def                                     area_of_tetrahedron(side):                       
           
                                                 return                                     (math.sqrt(                                     3                                     )                                     *                                     (side                                     *                                     side))                       
           
                         # Driver Code                       
                         side                                     =                                     3                                     ;                       
                         print                                     (                                     "Area of Tetrahedron ="                                     ,                       
                                                 area_of_tetrahedron(side));                       
           
                         # This code is contributed                       
                         # by Akanksha Rai                       

C#

                         // C# Program to Calculate                       
                         // area of tetrahedron                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                                                 // Utility Function                       
                                                 static                                     double                                     area_of_tetrahedron(                                     int                                     side)                       
                                                 {                       
                                                 return                                     (Math.Sqrt(3) *                       
                                                 (side * side));                       
                                                 }                       
                                   
                                                 // Driver Code                       
                                                 static                                     void                                     Main()                       
                                                 {                       
                                                 int                                     side = 3;                       
                                                 Console.Write(                                     "Area of Tetrahedron = "                                     +                       
                                                 area_of_tetrahedron(side));                       
                                                 }                       
                         }                       
                         // This code is contributed by                       
                         // Manish Shaw(manishshaw1)                       

PHP

                         <?php                       
                         // PHP Program to Calculate                       
                         // area of tetrahedron                       
           
                         function                                     area_of_tetrahedron(                                     $side                                     )                       
                         {                       
                                                 return                                     (sqrt(3) *                       
                                                 (                                     $side                                     *                                     $side                                     ));                       
                         }                       
           
                                                 // Driver Code                       
                                                 $side                                     =3;                       
                                                 echo                                     "Area of Tetrahedron ="                                     ,                       
                                                 area_of_tetrahedron(                                     $side                                     );                       
                                   
                         // This code is contributed by ajit.                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript Program to Calculate                       
                         // area of tetrahedron                       
           
                         // Utility Function                       
                         function                                     area_of_tetrahedron(side)                       
                         {                       
                                                 return                                     (Math.sqrt(3) * (side * side));                       
                         }                       
           
                         // Driver Code                       
                         var                                     side = 3;                       
                         document.write(                                     "Area of Tetrahedron ="                                     + area_of_tetrahedron(side));                       
           
                         // This code is contributed by rutvik_56.                       
                         </script>                       

输出：

Area of Tetrahedron =15.5885

另一种方法： 四面体的体积可通过以下公式计算：

体积=a ^3. /(6√2)

例如：

Input : side = 3Output : 3.18Input : side = 20Output : 942.81

JAVA

                         // java program to find the volume of a tetrahedron                       
           
                         import                                     java.io.*;                       
           
                         class                                     GFG {                       
           
                         // Function to calculate volume                       
                         static                                     double                                     vol_tetra(                                     int                                     side)                       
                         {                       
                                                 double                                     volume = (Math.pow(side,                                     3                                     ) / (                                     6                                     * Math.sqrt(                                     2                                     )));                       
                                                 return                                     volume;                       
                         }                       
           
                         // Driver Code                       
                                                 public                                     static                                     void                                     main (String[] args) {                       
                                                 int                                     side =                                     3                                     ;                       
                                                 double                                     vol = vol_tetra(side);                       
                                                 System.out.println( vol);                       
                                                 }                       
                         }                       
                         // This code is contributed by                       
                         // anuj_67..                       

Python 3

                         # Python 3 program to find the volume                       
                         # of a tetrahedron                       
                         import                                     math                       
           
                         # Function to calculate volume                       
                         def                                     vol_tetra(side):                       
           
                                                 volume                                     =                                     (                                     pow                                     (side,                                     3                                     )                                     /                                     (                                     6                                     *                                     math.sqrt(                                     2                                     )))                       
                                                 return                                     volume;                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     "__main__"                                     :                       
           
                                                 side                                     =                                     3                       
                                                 vol                                     =                                     vol_tetra(side)                       
                                                 print                                     (                                     round                                     (vol,                                     2                                     ))                       
           
                         # This code is contributed by ita_c                       

C#

                         // C# program to find the volume                       
                         // of a tetrahedron                       
                         using System;                       
           
                         class                                     GFG                       
                         {                       
           
                         // Function to calculate volume                       
                         static                                     double                                     vol_tetra(                                     int                                     side)                       
                         {                       
                                                 double                                     volume = (Math.Pow(side,                                     3                                     ) /                       
                                                 (                                     6                                     * Math.Sqrt(                                     2                                     )));                       
                                                 return                                     volume;                       
                         }                       
           
                         // Driver Code                       
                         public                                     static                                     void                                     Main ()                       
                         {                       
                                                 int                                     side =                                     3                                     ;                       
                                                 double                                     vol = vol_tetra(side);                       
                                                 Console.WriteLine( vol);                       
                         }                       
                         }                       
           
                         // This code is contributed by                       
                         // anuj_67..                       

PHP

                         <?php                       
                         // PHP program to find the volume                       
                         // of a tetrahedron                       
           
                         // Function to calculate volume                       
                         function                                     vol_tetra(                                     $side                                     )                       
                         {                       
                                                 $volume                                     = (pow(                                     $side                                     , 3) /                       
                                                 (6 * sqrt(2)));                       
                                                 return                                     $volume                                     ;                       
                         }                       
           
                         // Driver Code                       
                         $side                                     = 3;                       
                         $vol                                     = vol_tetra(                                     $side                                     );                       
                         echo                                     $vol                                     ;                       
           
                         // This code is contributed                       
                         // by Ankita Saini                       
                         ?>                       

Javascript

                         <script>                       
                                                 // Javascript program to find the volume                       
                                                 // of a tetrahedron                       
           
                                                 // Function to calculate volume                       
                                                 function                                     vol_tetra(side) {                       
                                                 var                                     volume = parseInt((Math.pow(side, 3) /                       
                                                 (6 * Math.sqrt(2))));                       
                                                 return                                     volume;                       
                                                 }                       
           
                                                 // Driver Code                       
                                                 var                                     side = 3;                       
                                                 var                                     vol = vol_tetra(side);                       
                                                 document.write(vol);                       
           
                         // This code is contributed by noob2000.                       
           
                                                 </script>                       

输出：

3.18

请参阅完整的文章计算四面体面积和体积的程序更多细节！

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