a rectangular tank with a square base of side 60 centimeters and a height of 45 centimeters is one third filled with water. water from a tap flows into the tank at 6 liters per minute. how long will it take to fill the tank completely? (1 liter=1,000 cm3

the full volume is 60*60*45

2/3 of that is still empty.

So, divide that volume by 6 L/min (6000 cm^3/min) to get the time needed.

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To find out how long it will take to fill the tank completely, we need to determine the volume of the tank.

The base of the tank is a square with a side length of 60 centimeters, so the area of the base is calculated as:

Area of base = side length * side length
= 60 cm * 60 cm
= 3600 cm^2

Since the tank has a height of 45 centimeters, the volume of the tank can be calculated as:

Volume of tank = area of base * height
= 3600 cm^2 * 45 cm
= 162,000 cm^3

Given that 1 liter is equal to 1,000 cm^3, we can convert the volume of the tank to liters:

Volume of tank in liters = 162,000 cm^3 / 1,000 cm^3/liter
= 162 liters

The tank is currently one third filled, so we need to calculate the remaining volume to fill:

Remaining volume = Volume of tank - Filled volume
= 162 liters - (1/3 * 162 liters)
= 162 liters - 54 liters
= 108 liters

The tap fills the tank at a rate of 6 liters per minute. Therefore, to calculate the time it takes to fill the remaining volume, we can divide the remaining volume by the filling rate:

Time to fill remaining volume = Remaining volume / Filling rate
= 108 liters / 6 liters/minute
= 18 minutes

So, it will take 18 minutes to fill the tank completely.

To find out how long it will take to fill the tank completely, we first need to calculate the volume of the tank.

The tank has a square base with a side length of 60 centimeters, so the area of the base is 60 * 60 = 3600 square centimeters.

The height of the tank is 45 centimeters, so the volume is calculated by multiplying the base area by the height: 3600 * 45 = 162,000 cubic centimeters.

Since 1 liter is equal to 1,000 cubic centimeters, the total volume of the tank is 162,000 / 1,000 = 162 liters.

Now, we need to determine how long it will take to fill the tank completely at a flow rate of 6 liters per minute.

To find out the time it will take, we divide the total volume of the tank by the flow rate: 162 / 6 = 27 minutes.

Therefore, it will take 27 minutes to fill the tank completely.