A rectangular 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 tilting process, 6 quarts of water are poured out. What is the volume of the tank in quarts?

(a) 12
(b) 24
(c) 36
(d) 48
(e) 64

Question

A rectangular 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 tilting process, 6 quarts of water are poured out. What is the volume of the tank in quarts?

(a) 12
(b) 24
(c) 36
(d) 48
(e) 64

dumbcow · Answer

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$$\frac{2}{3} x h L = \frac{1}{2} x h L + 6$$
$$x h L = 36$$
volume of tank = 36 quarts

anonymous · Answer

What's the logic behind assuming that after 6 quartz of water has been removed, 1/2 of the tank is left full?