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Re: The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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Thank you Sir
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Re: The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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Expert Reply
Sorry Guys but the book from which I posted the question has some typo.

The table of the answers reported A bu that the explanation reports C

I think the moderator above is right

C is the answer because in the end we need a conversion from feet to inches

\(\frac{1}{6} ft \frac{12 inches}{foot} = \frac{12}{6}=2 inches\)

The answer is C
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The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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Carcass wrote:
Attachment:
GRE solid.jpg



The figure above shows water in a tank whose base is 2 feet by 6 feet. If a rectangular solid whose dimensions are 1 foot by 1 foot by 2 feet is totally immersed in the water, how many inches will the water rise?

(A) \(\frac{1}{6 }\)

(B) 1

(C) 2

(D) 3

(E) 12

Kudos for the right answer and explanation


We can solve this question within 30 seconds!

Always remember that whenever you immerse another solid into the tank, the change in volume will always be equal to the volume of immersed solid.

Volume of solid =\( (1)(1)(2) = 2 ft^3\)
Let the water level rise by \(H ft\)

So, the volume of solid = change in volume
\((1)(1)(2) = (2)(6)(H)\)
\(H = \frac{1}{6} ft\)

Since, \(1\) ft = \(12\) inches
So, \((\frac{1}{6})(12) = 2\) inches

Hence, option C
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Re: The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
Hello, shouldn't proportion of the inches and feet be given in queation?
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The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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Archimedes's principle was utilized to arrive at the answer. The principle states that the water volume will be displaced by an equal volume of the intruding box. To find the additional height, distribute the additional volume over the original area. Additional volume = 2x1x1 = 2 ft^3. Then the height is 2/12 = 1/6 ft. Convert ft to inches: 12/6 = 2 inches (C).

I made a careless mistake though: I forgot to convert from ft to in; hence I chose 1/6 (A).

Be wary of the GRE's numerous nefarious traps--these little devils will decimate your score.
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Re: The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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misho13 wrote:
Hello, shouldn't proportion of the inches and feet be given in queation?


Hi There!

Ideally yes, but, this is an unofficial question. Good enough to accustom your brain with the twist and turns ETS can use. And, it is always better to know the basic conversions such as feet to inches, thousands to million, kg to grams etc.

Hope this helps
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Re: The figure above shows water in a tank whose base is 2 feet by 6 feet. [#permalink]
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