Conversión de unidades de volumen. Ejercicios Resueltos

Conversión de unidades de volumen. Ejercicios Resueltos

El volumen se define como el espacio que ocupa un cuerpo. Para determinar el volumen de un material, se debe tener en cuenta el estado de materia en el cual se encuentra, o sea si es sólido, líquido o gaseoso.

En el caso de los líquidos, el volumen se determina mediante ciertos instrumentos de vidrio, los cuales poseen una escala uniforme. Entre ellos se pueden mencionar el cilindro graduado, pipetas y buretas.

 

Para los sólidos regulares, el volumen se determina mediante una serie de fórmulas ya establecidas, y en el caso de los sólidos irregulares se determina mediante El principio de Arquímedes: Cálculo de volúmenes por desplazamiento

En el caso de los gases, el volumen resulta igual al del recipiente donde está contenido, debido a su marcada tendencia a ocupar todo el espacio que se le proporciona.

Ahora bien, las unidades de volumen para el Sistema Internacional de Medidas (S.I) es el metro cúbico (m3) el cual equivale 1000 dm³.

 

unidades de volumen en el sistema internacional de medidas (SI)

 

Ahora probemos algunas conversiones:
  1. ¿Cuántos m3 hay en 8 Km3?

De Km³ a m³ hay 3 escalones, como cada uno vale 1000, multiplicamos: 1000 x 1000 x 1000 = 10

Como Km³ es la unidad mayor, esta debe contener 10m³. Igualmente, como se está bajando los escalones, se debe multiplicar el valor que se esta transformando por el factor de conversión, que en este caso es 109

1 Km3 ————-> 109 m3

8 Km3 ————- >  X

X = 8 x 109  m3 

  1. ¿Cuántos m3 hay en 550 cm3?

De cm³ a m³ hay 2 escalones, como cada uno vale 1000, multiplicamos: 1000 x 1000 = 1.000.000

Como m³ es la unidad mayor, esta debe contener 1.000.000 cm³. Igualmente, como se está subiendo los escalones, se debe dividir el valor que se esta transformando entre el factor de conversión, que en este caso es 1.000.000.

1 m3 ————-1.000.000 cm3

X ————– 550 cm3

X = 0,00055 m3

  1. ¿Cuántos dm3 hay en 78000 mm3?

De mm³ a dm³ hay 2 escalones, como cada uno vale 1000, multiplicamos: 1000 x 1000 = 1.000.000

Como dm³ es la unidad mayor, esta debe contener 1.000.000 mm³. Igualmente, como se está subiendo los escalones, se debe dividir el valor que se esta transformando entre el factor de conversión, que en este caso es 1.000.000.

1 dm3 ——— 1.000.000 mm3

X —————- 78000 mm3

X = 0,078 dm3



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