Una pirámide es una forma geométrica tridimensional formada al conectar todas las esquinas de un polígono a un vértice central.
Hay muchos tipos de pirámides. La mayoría de las veces, reciben el nombre del tipo de base que tienen. Veamos algunos tipos comunes de pirámides a continuación.
Volumen de una pirámide cuadrada [la base de la pirámide es un cuadrado] = (1/3) * (b^2) * h
Volumen de una pirámide triangular [la base de la pirámide es un triángulo] = (1/6) * a * b * h
Volumen de una pirámide pentagonal [la base de la pirámide es pentagonal] = (5/6) * a * b * h
Volumen de una pirámide hexagonal [la base de la pirámide es hexagonal] = a * b * h
A continuación se muestra el código para calcular el volumen de las pirámides:
C++
// CPP program to find the volume.
#include <bits/stdc++.h>
using namespace std;
// Function to find the volume
// of triangular pyramid
float volumeTriangular(int a,
int b,
int h)
{
float vol = (0.1666) * a *
b * h;
return vol;
}
// Function to find the
// volume of square pyramid
float volumeSquare(int b, int h)
{
float vol = (0.33) * b *
b * h;
return vol;
}
// Function to find the volume
// of pentagonal pyramid
float volumePentagonal(int a,
int b,
int h)
{
float vol = (0.83) * a * b * h;
return vol;
}
// Function to find the volume
// of hexagonal pyramid
float volumeHexagonal(int a,
int b,
int h)
{
float vol = a * b * h;
return vol;
}
// Driver Code
int main()
{
int b = 4, h = 9, a = 4;
cout << "Volume of triangular"
<< " base pyramid is "
<< volumeTriangular(a, b, h)
<< endl;
cout << "Volume of square "
<< " base pyramid is "
<< volumeSquare(b, h)
<< endl;
cout << "Volume of pentagonal"
<< " base pyramid is "
<< volumePentagonal(a, b, h)
<< endl;
cout << "Volume of Hexagonal"
<< " base pyramid is "
<< volumeHexagonal(a, b, h);
return 0;
}
Java
// Java Program for volume
// of Pyramid.
import java.util.*;
import java.lang.*;
class GfG
{
// Function to find the volume of
// triangular pyramid
public static float volumeTriangular(int a,
int b,
int h)
{
float vol = (float)(0.1666) * a * b * h;
return vol;
}
// Function to find the volume
// of square pyramid
public static float volumeSquare(int b,
int h)
{
float vol = (float)(0.33) * b * b * h;
return vol;
}
// Function to find the volume of
// pentagonal pyramid
public static float volumePentagonal(int a,
int b,
int h)
{
float vol = (float)(0.83) * a * b * h;
return vol;
}
// Function to find the volume of hexagonal
// pyramid
public static float volumeHexagonal(int a,
int b,
int h)
{
float vol = (float)a * b * h;
return vol;
}
// Driver Code
public static void main(String argc[])
{
int b = 4, h = 9, a = 4;
System.out.println("Volume of triangular"+
" base pyramid is " +
volumeTriangular(a, b, h));
System.out.println("Volume of square base" +
" pyramid is " +
volumeSquare(b, h));
System.out.println("Volume of pentagonal"+
" base pyramid is " +
volumePentagonal(a, b, h));
System.out.println("Volume of Hexagonal"+
" base pyramid is " +
volumeHexagonal(a, b, h));
}
}
// This code is contributed by Sagar Shukla
Python3
# Python3 program to Volume of Pyramid # Function to calculate # Volume of Triangular Pyramid def volumeTriangular(a, b, h): return (0.1666) * a * b * h # Function To calculate # Volume of Square Pyramid def volumeSquare(b, h): return (0.33) * b * b * h # Function To calculate Volume # of Pentagonal Pyramid def volumePentagonal(a, b, h): return (0.83) * a * b * h # Function To calculate Volume # of Hexagonal Pyramid def volumeHexagonal(a, b, h): return a * b * h # Driver Code b = float(4) h = float(9) a = float(4) print( "Volume of triangular base pyramid is ", volumeTriangular(a, b, h) ) print( "Volume of square base pyramid is ", volumeSquare(b, h) ) print( "Volume of pentagonal base pyramid is ", volumePentagonal(a,b, h) ) print( "Volume of Hexagonal base pyramid is ", volumeHexagonal(a, b, h)) # This code is contributed by rishabh_jain
C#
// C# Program for volume of Pyramid.
using System;
class GFG
{
// Function to find the volume of
// triangular pyramid
public static float volumeTriangular(int a,
int b,
int h)
{
float vol = (float)(0.1666) * a * b * h;
return vol;
}
// Function to find the volume
// of square pyramid
public static float volumeSquare(int b,
int h)
{
float vol = (float)(0.33) * b * b * h;
return vol;
}
// Function to find the volume
// of pentagonal pyramid
public static float volumePentagonal(int a,
int b,
int h)
{
float vol = (float)(0.83) * a * b * h;
return vol;
}
// Function to find the volume
// of hexagonal pyramid
public static float volumeHexagonal(int a,
int b,
int h)
{
float vol = (float)a * b * h;
return vol;
}
// Driver Code
public static void Main()
{
int b = 4, h = 9, a = 4;
Console.WriteLine("Volume of triangular"+
" base pyramid is " +
volumeTriangular(a, b, h));
Console.WriteLine("Volume of square "+
"base pyramid is " +
volumeSquare(b, h));
Console.WriteLine("Volume of pentagonal"+
" base pyramid is " +
volumePentagonal(a, b, h));
Console.WriteLine("Volume of Hexagonal"+
" base pyramid is " +
volumeHexagonal(a, b, h));
}
}
// This code is contributed by vt_m
PHP
<?php
// PHP program to find the volume.
// Function to find the volume
// of triangular pyramid
function volumeTriangular($a, $b, $h)
{
$vol = (0.1666) * $a * $b * $h;
return $vol;
}
// Function to find the
// volume of square pyramid
function volumeSquare($b, $h)
{
$vol = (0.33) * $b * $b * $h;
return $vol;
}
// Function to find the volume
// of pentagonal pyramid
function volumePentagonal($a, $b, $h)
{
$vol = (0.83) * $a * $b * $h;
return $vol;
}
// Function to find the volume
// of hexagonal pyramid
function volumeHexagonal($a, $b, $h)
{
$vol = $a * $b * $h;
return $vol;
}
// Driver Code
$b = 4; $h = 9; $a = 4;
echo ("Volume of triangular base pyramid is ");
echo( volumeTriangular($a, $b, $h));
echo("\n");
echo ("Volume of square base pyramid is ");
echo( volumeSquare($b, $h));
echo("\n");
echo ("Volume of pentagonal base pyramid is ");
echo(volumePentagonal($a, $b, $h));
echo("\n");
echo("Volume of Hexagonal base pyramid is ");
echo(volumeHexagonal($a, $b, $h));
// This code is contributed by vt_m
?>
Javascript
<script>
// javascript program to find the volume.
// Function to find the volume
// of triangular pyramid
function volumeTriangular( a,
b,
h)
{
let vol = (0.1666) * a *
b * h;
return vol;
}
// Function to find the
// volume of square pyramid
function volumeSquare( b, h)
{
let vol = (0.33) * b *
b * h;
return vol;
}
// Function to find the volume
// of pentagonal pyramid
function volumePentagonal( a, b, h)
{
let vol = (0.83) * a * b * h;
return vol;
}
// Function to find the volume
// of hexagonal pyramid
function volumeHexagonal( a, b, h)
{
let vol = a * b * h;
return vol;
}
// Driver Code
let b = 4, h = 9, a = 4;
document.write( "Volume of triangular"
+ " base pyramid is "
+ volumeTriangular(a, b, h)
+"<br/>");
document.write( "Volume of square "
+ " base pyramid is "
+ volumeSquare(b, h)
+"<br/>");
document.write( "Volume of pentagonal"
+ " base pyramid is "
+ volumePentagonal(a, b, h)
+"<br/>");
document.write("Volume of Hexagonal"
+ " base pyramid is "
+ volumeHexagonal(a, b, h));
// This code contributed by Rajput-Ji
</script>
Producción
Volume of triangular base pyramid is 23.9904 Volume of square base pyramid is 47.52 Volume of pentagonal base pyramid is 119.52 Volume of Hexagonal base pyramid is 144
Complejidad de Tiempo : O(1)
Espacio Auxiliar : O(1)