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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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27 Mar 2018, 09:56
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81% (00:54) correct 19% (01:03) wrong based on 38 sessions

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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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27 Mar 2018, 12:15
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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   [#permalink] 27 Mar 2018, 12:15
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