a cubical water tank is filled by tap water at the rate of 1.4liters per second. find the length of the tank in centimeters if the tank if completely filled in 28 sec
1.4 L/s * 28s = 39.2L = 39200 cm^3
so, the side is ∛39200
the ans is 2ooom/s
In 28 minutes the tap can fill the tank completely
Thus, Total volume of the tank = 1.4 cross times 60 cross times 28 equals 2352 space l i t r e s
One litre = 1000 cubic metre
To find the length of the tank in centimeters, we need to convert the provided information into the correct units.
Step 1: Find the total volume of water filled in the tank.
Given that the water is filled at a rate of 1.4 liters per second and it takes 28 seconds to completely fill the tank, we can calculate the total volume as follows:
Total volume = Rate of filling × Time taken
Total volume = 1.4 liters/second × 28 seconds
Step 2: Convert liters to cubic centimeters.
Since 1 liter is equal to 1000 cubic centimeters, we can convert from liters to cubic centimeters by multiplying the total volume by 1000:
Total volume = 1.4 liters/second × 28 seconds × 1000 cubic centimeters/liter
Step 3: Determine the volume of a cubical tank.
A cubical tank has equal length, width, and height. Let's assume the length of the tank is "l" centimeters.
Step 4: Solve for the length of the tank.
We know that the volume of a cubical tank is given by the formula: Volume = l³.
So, we can rewrite the formula as follows:
Volume = l × l × l
We set up an equation by setting the calculated total volume equal to the volume of the tank:
l × l × l = Total volume
Now we can substitute the value of the total volume obtained from step 2 into the equation:
l × l × l = (1.4 liters/second × 28 seconds × 1000 cubic centimeters/liter)
To find the length of the tank, we solve for l by taking the cube root of both sides of the equation:
l = cube root [(1.4 liters/second × 28 seconds × 1000 cubic centimeters/liter)]
By evaluating the above expression, we can determine the length of the tank in centimeters.