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inysia [295]
3 years ago
10

Un tanque de almacenamiento de agua instalado en una comunidad tiene forma de prisma rectangular y una capacidad de 8 000 litros

, su base mide 2.5 m por 2 m. ¿Qué altura tiene este tanque? ¿Qué cantidad de agua contendría si sólo llegara el agua a una altura de 75 cm?
Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

a) la altura es de 1.6 metros

b) contendría 3750 litros

Step-by-step explanation:

1000 litros = 1m³

8000 litros = 8000/1000 = 8m³

La formula del volumen de un prisma rectangular es:

v = área de la base * altura

el área de la base es:

ab = 2.5m * 2m = 5m²

entonces:

v = 5 * altura

v = 8m³

así que:

8m³ = 5m²* altura

altura = 8m³/5m²

altura = 1.6 metros

  • Si la altura fuese de 75cm

1 metro = 100 centímetros

75 cms = 75/100 = 0.75 metros

entonces:

volumen = 5m² * 0.75m

volumen = 3.75m³

3.75m³ = 3.75*1000 = 3750 litros

El agua que contendría sería de:

3750 litros

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