How to find the volume of a dodecahedron in Java?

The dodecahedron is a three-dimensional shape with twelve planes. It is derived from two Greek words, "dodeka" meaning "12" and "hedra" meaning "face". Simply put, it is a polyhedron with twelve sides or faces. It is also called dodecahedron.

The formula for finding the volume of a dodecahedron -

$$\mathrm{Volume\:=\: (15\: \: 7\sqrt{5})*a^3/4}$$

Among them, "a" refers to the edge of the dodecahedron.

In this article, we will learn how to find the volume of a dodecahedron in Java.

Show you some examples

Example 1

Assume the side length is 4

Then according to the volume formula of the dodecahedron -

Volume = 490.44

Example 2

Assume the side length is 3

Then according to the volume formula of the dodecahedron -

Volume = 206.904

Example 3

Assume the side length is 4.2

Then according to the volume formula of the dodecahedron -

Volume = 567.745

grammar

In order to obtain the square root of a number, we have a built-in sqrt() method in the Math class of the java.lang package.

The following is the syntax for using this method to get the square root of any number.

double squareRoot = Math.sqrt(input_vale)

Similarly, to get the power of any number to the power of another number in Java, we have built-in java.lang.Math.pow() method.

The following is the syntax for using this method to obtain the third power

double power = Math.pow (inputValue,3)

algorithm

• Step 1 - Get the side length of the dodecahedron through initialization or user input.

• Step 2 - Calculate the volume of the dodecahedron using the volume formula

• Step 3 - Print the results.

Multiple methods

We provide solutions in different ways.

• By using user input value

• By using user-defined methods

Let’s look at the program and its output one by one.

Method 1: Using static input values

In this method, the side lengths of the dodecahedron will be declared in the program. Then use an algorithm to find the volume.

Example

import java.util.*;
public class Main{
   //main method
   public static void main(String args[]){
      //declared the edge length
      double a=5.5;
      System.out.println("Enter the length of edge:"+a);
      //Find volume by using formula
      double volume= (((15 + (7 * (Math.sqrt(5)))) / 4)
      * (Math.pow(a, 3)));
      //Print the result
      System.out.println("Volume of Dodecahedron: " +volume);
   }
}

Output

Enter the length of edge:5.5
Volume of Dodecahedron: 1274.9514170739233

Method 2: Using user-defined methods

In this method, the user will be asked to enter the side lengths of the dodecahedron. The user-defined method is then called by passing this length as a parameter, and inside the method the volume is found using the volume formula for the dodecahedron.

Example

import java.util.*;
public class Main{
   //main method
   public static void main(String args[]){
      //declared the edge length
      double a=6;
      System.out.println("The length of edge: "+a);
      //calling the method
      findVolume(a);
   }
   //user defined method to find volume of dodecahedron
   public static void findVolume(double a){
      //Find volume by using formula
      double volume= (((15 + (7 * (Math.sqrt(5)))) / 4)
      * (Math.pow(a, 3)));
      //Print the result
      System.out.println("Volume of Dodecahedron: " +volume);
   }
}

Output

The length of edge: 6.0
Volume of Dodecahedron: 1655.2336954949205

In this article, we explored how to find the volume of a dodecahedron in Java using different methods.

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