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A rectangular tank measuring 70 cm by 70 cm by 40 cm is filled up to its brim with water. Water drains from the tank at a rate of 7 l per minute. How long will it take to drain all the water in the tank?​

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Final answer:

To drain all the water in the tank, it will take approximately 28,000 minutes.

Step-by-step explanation:

To find out how long it will take to drain all the water in the tank, we need to calculate the volume of water in the tank and then divide it by the rate of drainage. The volume of the tank can be found by multiplying its length, width, and height:

Volume = Length x Width x Height

Plugging in the values, we get:

Volume = 70 cm x 70 cm x 40 cm = 196,000 cm³

Since water has a density of 1 g/cm³, the volume in liters will be the same as the mass in grams. Therefore, the volume of water in liters is 196,000 liters.

Now, we can calculate the time it will take to drain all the water:

Time = Volume / Rate

Plugging in the values, we get:

Time = 196,000 liters / 7 liters/min = 28,000 min

So, it will take approximately 28,000 minutes to drain all the water in the tank.

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