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# A cubical tank is filled with water to a level of 2 feet. If the water

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Math Expert
Joined: 02 Sep 2009
Posts: 62398
A cubical tank is filled with water to a level of 2 feet. If the water  [#permalink]

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06 Feb 2020, 07:42
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Difficulty:

35% (medium)

Question Stats:

69% (01:30) correct 31% (01:59) wrong based on 28 sessions

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A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 18 cubic feet, to what fraction of its capacity is the tank filled with water?

A. 1/9
B. 2/9
C. 1/3
D. 1/2
E. 2/3

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Location: India
Re: A cubical tank is filled with water to a level of 2 feet. If the water  [#permalink]

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09 Feb 2020, 00:32
Bunuel wrote:
A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 18 cubic feet, to what fraction of its capacity is the tank filled with water?

A. 1/9
B. 2/9
C. 1/3
D. 1/2
E. 2/3

Solution:
• The shape of the tank is cubical
o It means $$l = b = h= x$$ (say)
• Now, as water is poured in the tank, the length and breadth of the tank will remain same and height of water in the tank will vary as we pour water in the tank
• It is given that tank is filled up to $$2$$ feet and water occupies $$18$$ cubic feet.
o It means $$x*x*2 = 18$$
 $$x^2 = 9$$
 $$x = 3$$
• Now, volume of the tank = $$x*x*x = 3*3*3 = 27$$ cubic feet.
• It is given that water in tank occupies $$18$$ cubic feet.
o The fraction of capacity which is filled with water = $$\frac{18}{27}=\frac{2}{3}$$
Hence, the correct answer is Option E
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Re: A cubical tank is filled with water to a level of 2 feet. If the water   [#permalink] 09 Feb 2020, 00:32
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