Java Program for Triangular Matchstick Number

In the previous article, we have seen Java Program to Find the Vertex, Focus, Directrix of a Parabola

In this article we are going to see how to find the triangular matchstick number using Java programming language.

Java Program for Triangular Matchstick Number

Before Jumping into the program directly let’s see how we can find the triangular matchstick number.

Explanation:

Let X represents the floor of a matchstick pyramid,
Formula to find triangular matchstick number = (3*x*(x+1))/2

Example:

Let x = 1

So, the number of matchstick required to form a triangular pyramid = (3*x*(x+1))/2

=> (3*1*(1+1))/2

=> (3*1*2)/2

=> 6/2 =3

Let’s see different ways to find the triangular matchstick number.

By Using Static Input Values
By Using User Input Values
By Using User Defined Method

Method-1: Java Program for Triangular Matchstick Number By Using Static Value

Approach:

Declare an integer variable say “x”, assign the value to it, which holds the value for the floor of a matchstick pyramid.
Find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
Print the result.

Program:

class Main
{
    public static void main(String [] args)
    {
        //value of 'x' declared
        int x = 1;
        //finding number of matchstick required to form a triangular pyramid
        //Using the formula (3*x*(x+1))/2
        int no  = (3*x*(x+1))/2;
        System.out.println("The number of matchstick required to form a triangular pyramid is: " + no);
    }
}

Output:

The number of matchstick required to form a triangular pyramid is: 3

Method-2: Java Program for Triangular Matchstick Number By Using User Input Value

Approach:

Declare an integer variable say “x” and take the value of it as user input, which holds the value for the floor of a matchstick pyramid.
Find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
Print the result.

Program:

import java.util.*;

class Main
{
    public static void main(String [] args)
    {
        //Scanner class object created
        Scanner sc=new Scanner(System.in);
        //taking input of value of 'x' 
        System.out.print("Enter value of x(floor of match stick): ");
        int x = sc.nextInt();
        //finding number of matchstick required to form a triangular pyramid
        //Using the formula (3*x*(x+1))/2
        int no  = (3*x*(x+1))/2;
        System.out.println("The number of matchstick required to form a triangular pyramid is: " + no);
    }
}

Output:

Enter value of x(floor of match stick): 2
The number of matchstick required to form a triangular pyramid is: 9

Method-3: Java Program for Triangular Matchstick Number By Using User Defined Method

Approach:

Declare an integer variable say “x” and take the value of it as user input, which holds the value for the floor of a matchstick pyramid.
Then call a method findNumber() and pass x as the parameter.
Then inside the method, find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
Print the result.

Program:

import java.util.*;

class Main
{
    public static void main(String [] args)
    {
        //Scanner class object created
        Scanner sc=new Scanner(System.in);
        //taking input of value of 'x' 
        System.out.print("Enter value of x(floor of match stick): ");
        int x = sc.nextInt();
        //calling findNumber() Method
        findNumber(x);
    }
    
    //findNumber() user defined method
    //tofind the number of matchstick required to form a triangular pyramid
    public static void findNumber(int x)
    {
        //finding number of matchstick required to form a triangular pyramid
        //Using the formula (3*x*(x+1))/2
        int no  = (3*x*(x+1))/2;
        System.out.println("The number of matchstick required to form a triangular pyramid is:" + no);
    }
}

Output:

Enter value of x(floor of match stick): 1
The number of matchstick required to form a triangular pyramid is: 3

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