Surface Area and Volume of Hexagonal Prism

Last Updated : 07 Aug, 2022

Given a Base edge and Height of the Hexagonal prism, the task is to find the Surface Area and the Volume of hexagonal Prism. In mathematics, a hexagonal prism is a three-dimensional solid shape which have 8 faces, 18 edges, and 12 vertices. The two faces at either ends are hexagons, and the rest of the faces of the hexagonal prism are rectangular.

hexagonal prism

where a is the base length and h is the height of the hexagonal prism.

Surface Area = 6ah + 3\sqrt{3}a^{2}
Volume = \frac{3\sqrt{3}}{2}a^{2}h

Examples:

Input : a = 4, h = 3
Output : Surface Area: 155.138443
         Volume: 124.707657

Input : a = 5, h = 10
Output : Surface Area: 429.904
         Volume: 649.519

C++

// C++ program to find the Surface Area
// and Volume of Hexagonal Prism.

#include <bits/stdc++.h>
using namespace std;

// Function to calculate Surface area
void findSurfaceArea(float a, float h)
{
    float Area;

    // Formula to calculate surface area
    Area = 6 * a * h + 3 * sqrt(3) * a * a;

    // Display surface area
    cout << "Surface Area: " << Area;
    cout << "\n";
}

// Function to calculate Volume
void findVolume(float a, float h)
{
    float Volume;

    // formula to calculate Volume
    Volume = 3 * sqrt(3) * a * a * h / 2;

    // Display Volume
    cout << "Volume: " << Volume;
}

// Driver Code
int main()
{
    float a = 5, h = 10;
    
    // surface area function call
    findSurfaceArea(a, h);

    // volume function call
    findVolume(a, h);

    return 0;
}

Java

// Java program to find the Surface Area
// and Volume of Hexagonal Prism.

import java.io.*;

class GFG {
       
    // Function to calculate Surface area
    static void findSurfaceArea(float a, float h)
    {
        float Area;

        // Formula to calculate surface area
        Area = 6 * a * h + 3 * (float)(Math.sqrt(3)) * a * a;
    
        // Display surface area
        System.out.println("Surface Area: " + Area);
    }
    
    // Function to calculate Volume
    static void findVolume(float a, float h)
    {
        float Volume;
    
        // formula to calculate Volume
        Volume = 3 * (float)(Math.sqrt(3)) * a * a * h / 2;
    
        // Display Volume
        System.out.println("Volume: " + Volume);
    }

    // Driver code
    public static void main (String[] args)
    {
        float a = 5, h = 10;
    
        // surface area function call
        findSurfaceArea(a, h);
    
        // volume function call
        findVolume(a, h);
    }
}

Python3

# Python3 program to find the 
# Surface Area and Volume
# of Hexagonal Prism.
import math

# Function to calculate
# Surface area
def findSurfaceArea(a, h):
    Area = 0;

    # Formula to calculate
    # surface area
    Area = (6 * a * h + 
            3 * math.sqrt(3) * a * a);

    # Display surface area
    print("Surface Area:", 
          round(Area, 3));
    
# Function to 
# calculate Volume
def findVolume(a, h):
    Volume = 0;

    # formula to 
    # calculate Volume
    Volume = (3 * math.sqrt(3) * 
                a * a * h / 2);

    # Display Volume
    print("Volume:", 
           round(Volume, 3));

# Driver Code
a = 5; 
h = 10;

# surface area
# function call
findSurfaceArea(a, h);

# volume function call
findVolume(a, h);

# This code is contributed 
# by mits

// C# program to find the
// Surface Area and Volume
// of Hexagonal Prism.
using System;

class GFG 
{
        
    // Function to calculate
    // Surface area
    static void findSurfaceArea(float a, 
                                float h)
    {
        float Area;

        // Formula to calculate 
        // surface area
        Area = 6 * a * h + 3 * 
               (float)(Math.Sqrt(3)) * a * a;
    
        // Display surface area
        Console.WriteLine("Surface Area: " + 
                                      Area);
    }
    
    // Function to
    // calculate Volume
    static void findVolume(float a, 
                           float h)
    {
        float Volume;
    
        // formula to calculate Volume
        Volume = 3 * (float)(Math.Sqrt(3)) * 
                              a * a * h / 2;
    
        // Display Volume
        Console.WriteLine("Volume: " + 
                              Volume);
    }

    // Driver code
    public static void Main ()
    {
        float a = 5, h = 10;
    
        // surface area
        // function call
        findSurfaceArea(a, h);
    
        // volume function call
        findVolume(a, h);
    }
}

// This code is contributed 
// by anuj_67.

PHP

<?php
// PHP program to find the 
// Surface Area and Volume
// of Hexagonal Prism.

// Function to calculate
// Surface area
function findSurfaceArea($a, $h)
{
    $Area;

    // Formula to calculate
    // surface area
    $Area = 6 * $a * $h + 3 * 
            sqrt(3) * $a * $a;

    // Display surface area
    echo "Surface Area: " , 
                $Area,"\n";
    
}

// Function to 
// calculate Volume
function findVolume($a, $h)
{
    $Volume;

    // formula to 
    // calculate Volume
    $Volume = 3 * sqrt(3) * 
              $a * $a * $h / 2;

    // Display Volume
    echo "Volume: " , $Volume;
}

// Driver Code
$a = 5; $h = 10;

// surface area
// function call
findSurfaceArea($a, $h);

// volume function call
findVolume($a, $h);

// This code is contributed 
// by anuj_67.
?>

JavaScript

<script>
// javascript program to find the Surface Area
// and Volume of Hexagonal Prism.

// Function to calculate Surface area
function findSurfaceArea( a,  h)
{
    let Area;

    // Formula to calculate surface area
    Area = 6 * a * h + 3 * Math.sqrt(3) * a * a;

    // Display surface area
    document.write( "Surface Area: " + Area.toFixed(3) + "<br/>");
}

// Function to calculate Volume
function findVolume( a,  h)
{
    let Volume;

    // formula to calculate Volume
    Volume = 3 * Math.sqrt(3) * a * a * h / 2;

    // Display Volume
    document.write( "Volume: " + Volume.toFixed(3));
}

// Driver Code
    let a = 5, h = 10;
    
    // surface area function call
    findSurfaceArea(a, h);

    // volume function call
    findVolume(a, h);
    
// This code is contributed by todaysgaurav

</script>

Time complexity : O(1) as performing constant operations
Auxiliary Space : O(1)

Graph measurements: length, distance, diameter, eccentricity, radius, center

Kanishk_Verma

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Surface Area and Volume of Hexagonal Prism

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