It is currently 25 Sep 2017, 08:26

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Sphere is inscribed in a cube of side length 10 cms. What is

Author Message
SVP
Joined: 29 Aug 2007
Posts: 2473

Kudos [?]: 835 [0], given: 19

Sphere is inscribed in a cube of side length 10 cms. What is [#permalink]

### Show Tags

03 Aug 2008, 23:08
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Sphere is inscribed in a cube of side length 10 cms. What is the shortest distance from any of the vertices of the cube to the sphere surface?

a. 5
b. 10
c. 5-sqrt(3)
d. 10-sqrt(3)
e. 10-s*sqrt(3)
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Kudos [?]: 835 [0], given: 19

Director
Joined: 27 May 2008
Posts: 541

Kudos [?]: 354 [0], given: 0

### Show Tags

03 Aug 2008, 23:23
GMAT TIGER wrote:
Sphere is inscribed in a cube of side length 10 cms. What is the shortest distance from any of the vertices of the cube to the sphere surface?

a. 5
b. 10
c. 5-sqrt(3)
d. 10-sqrt(3)
e. 10-s*sqrt(3)

diagonal of the cube = 10sqrt(3)
half of it = 5sqrt(3)
radius of the sphere = 5
shortest distance = 5sqrt(3) - 5
... this is not an option. ... could you check the question...

Kudos [?]: 354 [0], given: 0

Manager
Joined: 23 Apr 2008
Posts: 86

Kudos [?]: 8 [0], given: 0

### Show Tags

03 Aug 2008, 23:44
I AGREE..

10SQRT3 - 10/2
WHICH GIVES 5 SQRT3 - 5

Kudos [?]: 8 [0], given: 0

Senior Manager
Joined: 07 Jan 2008
Posts: 398

Kudos [?]: 282 [0], given: 0

### Show Tags

04 Aug 2008, 00:58
Agree,
$$5*sqrt{3} - 5$$

Kudos [?]: 282 [0], given: 0

VP
Joined: 17 Jun 2008
Posts: 1378

Kudos [?]: 392 [0], given: 0

### Show Tags

05 Aug 2008, 19:28
GMAT TIGER wrote:
Sphere is inscribed in a cube of side length 10 cms. What is the shortest distance from any of the vertices of the cube to the sphere surface?

a. 5
b. 10
c. 5-sqrt(3)
d. 10-sqrt(3)
e. 10-s*sqrt(3)

radius of the largest sphere in a cube of length 5 is 5
dist between vertex of cube to center of sphere is 5(3^1/2)
hence shortest dis between vertex of cube to surface = 5*sqrt(3)-5

OA =???
_________________

cheers
Its Now Or Never

Kudos [?]: 392 [0], given: 0

Re: Shortest Length   [#permalink] 05 Aug 2008, 19:28
Display posts from previous: Sort by