Respuesta :

reinhard10158

Step-by-step explanation:

the volume of the tank is

80×50×45 = 180,000 cm³

3/4 of that volume is

180000 × 3/4 = 135,000 cm³

so, we want to know how long it takes to fill 135,000 cm³.

the water intake flow is 9 l / minute.

now we need to know that a cube of 10 cm side length contains exactly 1 liter of water.

such a cube has the volume

10×10×10 = 10³ = 1000 cm³

so, 1000 cm³ = 1 liter.

and we need to fill 135,000 cm³.

how many times fit 1000 cm³ into 135,000 cm³ ?

135000/1000 = 135 times.

and that means it would take 135 minutes to fill it, if the flow was 1 l / minute.

but it is faster (9 times faster) : 9 l / minute

so, how many minutes ?

135 / 9 = 15 minutes

it takes 15 minutes to fill 3/4 of the tank.

Answer:

15 minutes

Step-by-step explanation:

The volume (V) of the tank is calculated as

V = lbh (l is the length, b the breadth and h the height (

here l = 80, b = 50, h = 45 , then

V = 80 × 50 × 45 = 180000 cm³

1 litre = 1000 cm³ , then

9 litres = 9 × 1000 = 9000 cm³

Divide the volume of the tank by 9000 for time in minutes

180000 ÷ 9000 = 20 minutes

It takes [tex]\frac{3}{4}[/tex] × 20 = 15 minutes to fill [tex]\frac{3}{4}[/tex] of the tank

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