Answer :
To solve this problem, we first need to determine the total volume of the fish tank and then calculate the time required to fill it at the given rate.
Steps:
Calculate the Volume of the Tank
The dimensions of the tank are given in meters and centimeters, so let's convert all measurements to meters for consistency. The dimensions are:
- Length = 1.2 meters
- Width = 1 meter
- Height = 80 cm = 0.8 meters
The formula for the volume of a rectangular prism (like a tank) is:
[tex]\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}[/tex]
[tex]\text{Volume} = 1.2 \times 1 \times 0.8 = 0.96 \text{ cubic meters}[/tex]
Since 1 cubic meter equals 1000 liters, the volume of the tank in liters is:
[tex]0.96 \times 1000 = 960 \text{ liters}[/tex]
Calculate the Time to Fill the Tank
Water is being poured into the tank at a rate of 2 liters every 10 seconds. First, let's find out how many liters are being added per second:
[tex]\text{Rate} = \frac{2 \text{ liters}}{10 \text{ seconds}} = 0.2 \text{ liters per second}[/tex]
Next, calculate the time required to fill 960 liters at this rate:
[tex]\text{Time in seconds} = \frac{960}{0.2} = 4800 \text{ seconds}[/tex]
Convert Time from Seconds to Minutes
Since there are 60 seconds in a minute, the time in minutes is:
[tex]\text{Time in minutes} = \frac{4800}{60} = 80 \text{ minutes}[/tex]
Therefore, it will take 80 minutes to fill the tank completely.
