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cube sum

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by srivathsan » Mon Aug 27, 2012 10:42 am
A cube floating in a bucket of water has 80-85% of its volume below the surface of water. If between 12 & 16 cc of cube is above water surface, what is the side of cube?

a.4
b.5
c.7
d.8
e.9
kindly help me out
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by NextGreatLeader » Mon Aug 27, 2012 10:58 am
This post should probably go under the Problem Solving thread
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by Biji » Tue Nov 15, 2016 10:13 pm
Answer is 7
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by Matt@VeritasPrep » Fri Nov 25, 2016 3:45 pm
Our minimum is when 12 = 20% of the volume, and our maximum is when 16 = 15% of the volume.

That gives us a volume between 60 and 106+(2/3). The only cube in this range is 4*4*4, so the answer is A.
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by Matt@VeritasPrep » Fri Nov 25, 2016 3:45 pm
Biji wrote:Answer is 7
It isn't, unfortunately: the answer is A, or ≈ 4.
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