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What is the maximum possible volume of a cube that can be placed insid
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16 Jun 2023, 05:52
16 Jun 2023, 05:52
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45% (02:09) correct
54% (02:43) wrong based on 11 sessions
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What is the maximum possible volume of a cube that can be placed inside a sphere with radius 10 units? (in cubic unit)
A. \(\dfrac{8000}{3 \sqrt{3} }\)
B. \(1000 \sqrt{3 }\)
C. \(8008
\)
D. \(8000 \sqrt{3}\)
E. \(2400 \sqrt{3} \)
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A. \(\dfrac{8000}{3 \sqrt{3} }\)
B. \(1000 \sqrt{3 }\)
C. \(8008
\)
D. \(8000 \sqrt{3}\)
E. \(2400 \sqrt{3} \)
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Re: What is the maximum possible volume of a cube that can be placed insid
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18 Jun 2023, 10:49
18 Jun 2023, 10:49
1
For a cube that maximizes its volume in a sphere, its diagonal is equal to the diameter of the sphere ie. 2(10)=diagonal of cube
Therefore a cube of diagonal 20 units has a volume of 8000/3Sqrt(3) cube units. That's A
Posted from my mobile device
Therefore a cube of diagonal 20 units has a volume of 8000/3Sqrt(3) cube units. That's A
Posted from my mobile device
gmatclubot
Re: What is the maximum possible volume of a cube that can be placed insid [#permalink]
18 Jun 2023, 10:49
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