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How to find the volume of an octahedron in Java?

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2023-08-27 13:29:041221browse

How to find the volume of an octahedron in Java?

The octahedron is a three-dimensional shape with eight planes. Simply put, it is a polyhedron with eight faces, twelve edges, and six vertices. It is derived from the Greek word "Oktaedron" which means eight sides.

Volume formula of octahedron -

$$\mathrm{Volume\: =\: \sqrt{2}/3\: × \:a^3}$$

Among them, ‘a’ refers to the side length of the octahedron.

In this article, we will see how to find the volume of an octahedron in Java.

Show you some examples

The Chinese translation of

Instance-1

is:

Instance-1

Assume the side length is 3

Then according to the volume formula of the octahedron −

Volume = 12.72

Example 2

Assume the side length is 6

Then according to the volume formula of the octahedron −

Volume = 101.82

Example 3

Assume the side length is 4.5

Then according to the volume formula of the dodecahedron -

Volume = 42.95

grammar

To get the square root of a number, we can use the built-in sqrt() method of the Math class in the java.lang package.

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

double squareRoot = Math.sqrt(input_vale)

Similarly, in Java, to get any power of a number, we can use the 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 lengths of the octahedron through initialization or user input.

  • Step 2 - Use the volume formula to find the volume of the octahedron.

  • Step 3 - Print the results.

Multiple methods

We provide solutions in different ways.

  • By using static input values

  • By using user-defined methods

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

Method 1: Use static input values ​​and built-in methods

In this method, the side length values ​​of the octahedron will be declared in the program. The volume is then found by using an algorithm. Here we will use the built-in sqrt() and pow() methods in the program.

The Chinese translation of

Example

is:

Example

import java.util.*;
public class Main{
   //main method
   public static void main(String args[]){
   
      //declared the side length of octahedron
      double a=3;
      System.out.println("The side of octahedron: "+a);
      
      //Find volume by using formula
      double volume= (Math.pow(a,3)*Math.sqrt(2))/3;
      
      //Print the result
      System.out.println("Volume of octahedron: " +volume);
   }
}

Output

The side of octahedron: 3.0
Volume of octahedron: 12.727922061357857

Method 2: By using user-defined methods

In this method, the side length values ​​of the octahedron will be declared in the program. The volume is then calculated by calling a user-defined method with this length as a parameter, and using the volume formula for the octahedron inside the method.

The Chinese translation of

Example

is:

Example

import java.util.*;
public class Main{
   //main method
   public static void main(String args[]){
   
      //Declared the side length
      double a=10;
      System.out.println("The side of octahedron: "+a);
      
      //calling the method
      findVolume(a);
   }
   
   //user defined method to find volume of octahedron
   public static void findVolume(double a){
   
      //Find volume by using formula
      double volume= (Math.pow(a,3)*Math.sqrt(2))/3;
      
      //Print the result
      System.out.println("Volume of octahedron: " +volume);
   }
}

Output

The side of octahedron: 10.0
Volume of octahedron: 471.4045207910317

In this article, we looked at how to find the volume of an octahedron in Java using different methods.

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