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.
Assume the side length is 3
Then according to the volume formula of the octahedron −
Volume = 12.72
Assume the side length is 6
Then according to the volume formula of the octahedron −
Volume = 101.82
Assume the side length is 4.5
Then according to the volume formula of the dodecahedron -
Volume = 42.95
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)
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.
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.
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 ofimport 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); } }
The side of octahedron: 3.0 Volume of octahedron: 12.727922061357857
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 ofimport 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); } }
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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