十二面体表面积计算程序-yiteyi-C++库

给定十二面体的边，计算其表面积。表面积是形状的所有面占用的空间量。 公式： $mathbf{A=3sqrt{25+10sqrt{5}}hspace{2 mm} a^{2}}$ 例如：

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Input : 3Output : 185.812Input : 7Output : 1011.64

A. 十二面体 是由12个面或平面组成的三维图形。所有的面都是大小相同的五边形。“十二面体”一词来源于希腊语dodeca（“十二”）和hedron（“脸”）。每种形状都有属性和特征。十二面体也是如此

12个相等的五边形面
20个顶点
30边

其中五角大楼是一个二维形状，有5条直边和5个顶点。十二面体有12个这样的平面，相等的五边形面。所以你可以把十二面体想象成一个12面骰子（通常看不到），但也可以在一个战斗球棋盘游戏中。

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

C++

                         // CPP program to calculate                       
                         // surface area of dodecahedron                       
                         #include <bits/stdc++.h>                       
                         using                                     namespace                                     std;                       
           
                         // utility Function                       
                         double                                     area_of_dodecahedron(                                     int                                     side)                       
                         {                       
                                                 return                                     ((3 *                                     sqrt                                     (25 + 10 * (                                     sqrt                                     (5))))                       
                                                 * (                                     pow                                     (side, 2))) ;                       
                         }                       
           
                         // Driver Function                       
                         int                                     main()                       
                         {                       
                                                 int                                     side = 3;                       
                                   
                                                 cout<<                                     "Surface area of dodecahedron = "                       
                                                 << area_of_dodecahedron(side);                       
                                   
                                                 return                                     0;                       
                         }                       

JAVA

                         //Java program to calculate                       
                         // surface area of dodecahedron                       
           
                         class                                     GFG                       
                         {                       
           
                                                 // Utility Function                       
                                                 static                                     double                                     area_of_dodecahedron(                                     int                                     side)                       
                                                 {                       
                                                 return                                     ((                                     3                                     * Math.sqrt(                                     25                                     +                                     10                                     * (Math.sqrt(                                     5                                     ))))                       
                                                 * (Math.pow(side,                                     2                                     ))) ;                       
                                                 }                       
                                   
                                                 // Driver Function                       
                                                 public                                     static                                     void                                     main (String[] args)                       
                                                 {                       
                                                 int                                     side =                                     3                                     ;                       
                                                 System.out.println(                                     "Surface area of dodecahedron ="                       
                                                 + area_of_dodecahedron(side));                       
                                                 }                       
           
                         }                       
           
                         // This code is contributed by Azkia Anam.                       

Python3

                         # Python program to calculate                       
                         # surface area of dodecahedron                       
                         import                                     math                       
           
                         # utility Function                       
                         def                                     area_of_dodecahedron(side):                       
           
                                                 return                                     ((                                     3                                     *                                     math.sqrt(                                     25                                     +                                     10                                     *                                     (math.sqrt(                                     5                                     ))))                                     *                                     (math.                                     pow                                     (side,                                     2                                     )))                       
           
                         # Driver Function                       
                         side                                     =                                     3                       
                         print                                     (                                     "Surface area of dodecahedron = "                                     ,                       
                                                 round                                     (area_of_dodecahedron(side),                                     3                                     ))                       
           
                         # This code is contributed                       
                         # by Azkia Anam.                       

C#

                         //C# program to calculate                       
                         // surface area of dodecahedron                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
           
                                                 // Utility Function                       
                                                 static                                     float                                     area_of_dodecahedron(                                     int                                     side)                       
                                                 {                       
                                                 return                                     (                                     float                                     )((3 * Math.Sqrt(25 + 10 * (Math.Sqrt(5))))                       
                                                 * (Math.Pow(side, 2))) ;                       
                                                 }                       
                                   
                                                 // Driver Function                       
                                                 public                                     static                                     void                                     Main ()                       
                                                 {                       
                                                 int                                     side = 3;                       
                                                 Console.WriteLine(                                     "Surface area of dodecahedron ="                       
                                                 + area_of_dodecahedron(side));                       
                                                 }                       
           
                         }                       
           
                         // This code is contributed by vt_m.                       

PHP

                         <?php                       
                         // PHP program to calculate                       
                         // surface area of dodecahedron                       
           
                         // utility Function                       
                         function                                     area_of_dodecahedron(                                     $side                                     )                       
                         {                       
                                                 return                                     ((3 * sqrt(25 + 10 * (sqrt(5))))                       
                                                 * (pow(                                     $side                                     , 2))) ;                       
                         }                       
           
                         // Driver Code                       
                         $side                                     = 3;                       
           
                         echo                                     (                                     "Surface area of dodecahedron = "                                     );                       
                         echo                                     (area_of_dodecahedron(                                     $side                                     ));                       
           
                         // This code is contributed by vt_m.                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript program to calculate                       
                         // surface area of dodecahedron                       
           
                         // utility Function                       
                         function                                     area_of_dodecahedron( side)                       
                         {                       
                                                 return                                     ((3 * Math.sqrt(25 + 10 * (Math.sqrt(5))))                       
                                                 * (Math.pow(side, 2))) ;                       
                         }                       
           
           
                                                 // Driver Code                       
                                   
                                                 let side = 3;                       
                                   
                                                 document.write(                                     "Surface area of dodecahedron = "                       
                                                 + Math.round(area_of_dodecahedron(side)*1000)/1000);                       
                                   
                                   
                         </script>                       

输出：

Surface area of dodecahedron = 185.812

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