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# What is the volume of a given cube?

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Math Expert
Joined: 02 Sep 2009
Posts: 43862
What is the volume of a given cube? [#permalink]

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14 May 2017, 11:20
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Difficulty:

35% (medium)

Question Stats:

67% (00:53) correct 33% (00:35) wrong based on 38 sessions

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What is the volume of a given cube?

(1) The ratio of an edge of the cube and the greatest distance between two points on the cube is $$1: \sqrt{3}$$.
(2) The length of the diagonal across a face of the cube is 2.
[Reveal] Spoiler: OA

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Director
Joined: 28 Mar 2017
Posts: 891
Re: What is the volume of a given cube? [#permalink]

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14 May 2017, 11:28
Bunuel wrote:
What is the volume of a given cube?

(1) The ratio of an edge of the cube and the greatest distance between two points on the cube is $$1: \sqrt{3}$$.
(2) The length of the diagonal across a face of the cube is 2.

B

1. the diagonal of a cube is always = root 3* side
therefore any cube will have stmt 1 true.
insufficient

2. diagonal = root 2* side
therefore sufficient, since we can find the side, hence the volume
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Re: What is the volume of a given cube?   [#permalink] 14 May 2017, 11:28
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