Arectangular aquarium is 2/3 filled with water and then is tilted on its side until the water level coincides with one edge of the bottom. during the process, 6 quarts of water are poured out. what is the volume of the tank in quarts?

36 Quarts

Step-by-step explanation:

Let the volume of the Aquarium be x quarts.

Hence amount of water filled in it will be

quarts

Also problem says that the tank is tilted until water level coincides with one edge of the bottom. At this position , the amount of water filled in the tank will be half of the total volume , as the slant water level will be the diagonal of the tank and a diagonal divides the tank in two halves.

Hence current volume of water in the tank will be

And in this process the amount of water poured out is 6 quarts. It will the difference between the amount of water earlier in the tank and the amount of water in the tank now. Hence

Hence the volume of the tank is 36 quarts.