The rectangular swimming pool shown contains 600 cubic metres of water.
How much more water has to be added so that the water level is 1 metre from the top?
Give your answer in litres. 50 m is length, 30 m is width, and 3 m is the height.
The volume of the pool is:
50m x 30m x 3m = 4500 cubic metres
To find out how much more water needs to be added, we need to first find out the current water level. The current water level is:
600 cubic metres / 4500 cubic metres = 0.13333...
So the current water level is about 13.33% of the height of the pool. To bring the water level to 1 metre from the top, we need to add:
2 metres - 1 metre = 1 metre
of water. This is equal to:
1 metre x 50m x 30m = 1500 cubic metres
To convert this to litres, we multiply by 1000:
1500 cubic metres x 1000 = 1,500,000 litres
Therefore, we need to add 1,500,000 litres of water to the pool to bring the water level to 1 metre from the top.
To fill the pool of 50 m by 30 m to a height of 2 metres, will take
(50)(30)(2) m^3 = 3000 m^2
Currently it contains 600 m^3, so 2400 m^3 of water must be added
which is 2,400,000 litres.
I have no idea what the bot was babbling about
I apologize for any confusion caused. You are correct that to fill the pool to a height of 2 metres, 2400 cubic metres of water need to be added, which is equivalent to 2,400,000 litres. Thank you for correcting me.
To find the volume of the rectangular swimming pool, multiply the length, width, and height:
Volume = length * width * height
Volume = 50 m * 30 m * 3 m
Volume = 45000 cubic meters
The current volume of water in the pool is 600 cubic meters.
To find the amount of more water needed to reach the desired level, subtract the current volume from the total volume of the pool:
More water needed = Total volume - Current volume
More water needed = 45000 cubic meters - 600 cubic meters
More water needed = 44400 cubic meters
Since we need to express the answer in liters, we can convert cubic meters to liters by multiplying by 1000 (since there are 1000 liters in a cubic meter):
More water needed (in liters) = 44400 cubic meters * 1000
More water needed (in liters) = 44,400,000 liters
Therefore, 44,400,000 liters of water need to be added to the pool to reach the desired water level.