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The cube above has volume equal to 64 cubic feet. If Points M and N ar
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09 Jun 2021, 00:39
09 Jun 2021, 00:39
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62% (02:09) correct
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The cube above has volume equal to 64 cubic feet. If Points M and N are the midpoints of two edges of the cube, what is length MN, in feet?
A. \(4 \sqrt{3}\)
B. \(3 \sqrt{6
}\)
C. \(4 \sqrt{6}\)
D. \(6 \sqrt{2}\)
E. \(2 \sqrt{6}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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The cube above has volume equal to 64 cubic feet. If Points M and N ar
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09 Jun 2021, 10:58
09 Jun 2021, 10:58
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Carcass wrote:
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The attachment GRE The cube above.png is no longer available
The cube above has volume equal to 64 cubic feet. If Points M and N are the midpoints of two edges of the cube, what is length MN, in feet?
A. \(4 \sqrt{3}\)
B. \(3 \sqrt{6
}\)
C. \(4 \sqrt{6}\)
D. \(6 \sqrt{2}\)
E. \(2 \sqrt{6}\)
Let the edge length of cube be \(a\)
Give, \(a^3 = 64\) i.e. \(a = 4\)
Refer to the figure below;
\(MN = \sqrt{x^2 + y^2 + z^2} = \sqrt{2^2 + 4^2 + 2^2}\)
\(MN = \sqrt{24} = 2\sqrt{6}\)
Hence, option E
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Re: The cube above has volume equal to 64 cubic feet. If Points M and N ar
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08 Nov 2022, 01:49
08 Nov 2022, 01:49
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