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A rectangular solid S, has dimensions 4 by 9 by k. What is the value

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A rectangular solid S, has dimensions 4 by 9 by k. What is the value  [#permalink]

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New post 27 Mar 2018, 08:56
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A rectangular solid S, has dimensions 4 by 9 by k. What is the value of k?

(1) 4 < k < 9

(2) A cube of side 6 has the same volume as rectangular S.

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A rectangular solid S, has dimensions 4 by 9 by k. What is the value  [#permalink]

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New post 27 Mar 2018, 11:15
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A rectangular solid S, has dimensions 4 by 9 by k. What is the value of k?

(1) 4 < k < 9
k could take any value in the range(5,6,7,8)
Hence, we cannot arrive at a unique value of k (Insufficient)

(2) A cube of side 6 has the same volume as rectangular S.
If the cube has the same volume as the rectangular solid, which is a cuboid
\(4*9*k = 6^3\) -> \(k = 6\) (Sufficient - Option B)
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A rectangular solid S, has dimensions 4 by 9 by k. What is the value &nbs [#permalink] 27 Mar 2018, 11:15
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