Answered

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Cuantas pelotas caben en una urna que mide 120x80x85 cm y la pelota mide 5cm ?

Sagot :

Utilizando la proporción entre los volumes de la urna e de la pelota, hay que 6528 pelotas caben en una urna.

En este problema, hay que:

  • La urna es rectangular.
  • La pelota es cúbica.

Qual el volume de la urna?

El volume de un prisma rectangular de largo l, ancho w, alto h es dado por:

[tex]V = lwh[/tex]

En este problema, hay que l = 120, w = 80, h = 85, por eso, el volume de la urna, en [tex]cm^3[/tex], es dado por:

[tex]V = 120(80)(85) = 816000[/tex]

Qual el volume de una pelota?

El volume de un cubo de largo l es dado por:

[tex]V = l^3[/tex]

En este problema, hay que l = 5, por eso, el volume de una pelota, en [tex]cm^3[/tex], es dado por:

[tex]V = 5^3 = 125[/tex]

Proporción

La proporción entre los volumes de la urna e de la pelota es dada por:

[tex]p = \frac{816000}{125} = 6528[/tex]

6528 pelotas caben en una urna.

Puede-se aprender más a cerca de proporciones en brainly.com/question/26395519

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