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What is the volume of the largest box with a square base that can fit

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What is the volume of the largest box with a square base that can fit  [#permalink]

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New post 07 Sep 2018, 01:36
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (01:24) correct 43% (01:19) wrong based on 35 sessions

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What is the volume of the largest box with a square base that can fit  [#permalink]

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New post 07 Sep 2018, 02:32
Bunuel wrote:
What is the volume of the largest box with a square base that can fit into a cylindrical canister with volume 25π?

(1) The cylinder has a radius of \(\sqrt{5}\).
(2) The height of the cylinder is 5.


Question: What is the volume of the largest box with a square base that can fit into a cylindrical canister with volume 25π?

To answer this question, we need only the radius or height of cylinder because we have the volume of cylinder 25π already.

For any specific cylinder the box of maximum volume can be derived as square base with diagonal equal to diameter and height equal to height of cylinder


Statement 1: The cylinder has a radius of \(\sqrt{5}\)

SUFFICIENT

Statement 2; The height of the cylinder is 5

SUFFICIENT

Answer: Option D
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Re: What is the volume of the largest box with a square base that can fit  [#permalink]

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New post 09 Nov 2019, 14:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the volume of the largest box with a square base that can fit   [#permalink] 09 Nov 2019, 14:50
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