: 24 de junio de 2022
Es la cantidad de espacio que ocupan un objeto y una sustancia o lo que está encerrado dentro de un contenedor. El enfoque más ideal para visualizar el volumen es considerarlo hasta el espacio cerrado / ocupado por cualquier elemento tridimensional o una forma sólida.
Podemos verlo haciéndolo en casa,
- Primero, tome una hoja de papel, de forma rectangular de 1 cm y h cm de ancho.
- Después de eso, únase a los lados de la hoja como se muestra en la imagen a continuación, sin arrugar la hoja.
- Luego verá que ha hecho un objeto / forma tridimensional, que encierra el espacio interior.
Importancia del volumen
Unidades del volumen
Se da que el volumen tiene 3-D, tiene una longitud de medidas cúbicas.
Además, aunque la unidad de medida estándar universalmente es un metro cúbico o un centímetro cúbico, casualmente el término más utilizado es litros o mililitros.
Entonces, ahora estamos completamente familiarizados con las unidades de volumen. Ahora, echemos un vistazo al cálculo del volumen de otras formas y figuras comunes.
Cubo
Es un caso especial de cuboide o podemos decir un prisma rectangular, aquí los tres lados son iguales cuando se miden. Cuando representamos un lado del cubo como ‘ a ’, entonces el cubo tiene todos los lados como ‘ a ’. Ahora, el volumen de un cubo se calcula como;
Volumen de cubo = a x a x = a ³ <TAG1
Cilindro
Una forma de cilindro es una especie de estructura en forma de tubo con caras externas redondas de un tramo similar en cada extremo unido por la superficie circular plana.
Considérelo el área de una circular aumentada en un 3er-D, la altura.
Volumen del cilindro = π x r x r x h = πr ² h 1
Volumen de la pirámide
La forma de la pirámide formada por una base. Comúnmente es un triángulo o un cuadrado. A pesar del hecho de que las pirámides con bases con más de 4 también son concebibles y planas superficies tripartitas.
El volumen de la Pirámide = 1/3 x área de base x altura
= 1/3 x a ² x h
( aquí ‘ h ’ es la altura de la Pirámide y a es el área de la base )
Volumen de cono
Solo hay una diferencia entre un cono y una pirámide es que ambos tienen bases diferentes. El cono tiene la base circular y la pirámide tiene una base cuadrada. Además, la pirámide tiene superficies planas y el cono tiene una superficie curva.
Podemos usar cono de helado como ejemplo,
Volumen de cono = 1/3 x π x r x r x h
= 1/3 x π x r ² x h
( entonces, h es la altura del cono y el radio se denota por ‘ r ’ )
Contenido
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