Question

An empty rectangular tank, 40 cm long and 25 cm wide, contains 2 metal cubes of edge 10 cm. the tank is being filled with water flowing from a tap at a rate of 10 liters per minute. If it takes 3 minutes to fill up the tank, find the height of the tank.

Answer 1

The height of the tank is 0.5 cm.

Step-by-step explanation:

To find the height of the tank, we can use the formula:

Volume of water = base area × height

The base area of the tank can be found by multiplying the length and width: 40 cm × 25 cm = 1000 cm².

The volume of water flowing from the tap is given as 10 liters per minute, which is equivalent to 10000 cm³ per minute or 166.667 cm³ per second. Since it takes 3 minutes to fill up the tank, the total volume of water will be 3 minutes × 166.667 cm³ per second = 500 cm³.

Now, we can plug these values into the formula to find the height:

500 cm³ = 1000 cm² × height

Dividing both sides by 1000 cm² gives:

height = 0.5 cm

Therefore, the height of the tank is 0.5 cm.

Answer 2

the answer is 92 cm high