GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Jun 2019, 22:40

### 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

# What is the radius of the largest sphere that can be placed inside a

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55609
What is the radius of the largest sphere that can be placed inside a  [#permalink]

### Show Tags

08 Jan 2019, 05:07
00:00

Difficulty:

35% (medium)

Question Stats:

65% (00:51) correct 35% (00:40) wrong based on 22 sessions

### HideShow timer Statistics

What is the radius of the largest sphere that can be placed inside a cube of volume 64?

A. $$6\sqrt{2}$$

B. 8

C. 4

D. $$2\sqrt{2}$$

E. 2

_________________
CEO
Joined: 18 Aug 2017
Posts: 3834
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
What is the radius of the largest sphere that can be placed inside a  [#permalink]

### Show Tags

Updated on: 08 Jan 2019, 09:20
Bunuel wrote:
What is the radius of the largest sphere that can be placed inside a cube of volume 64?

A. $$6\sqrt{2}$$

B. 8

C. 4

D. $$2\sqrt{2}$$

E. 2

a^3=64
a=4

diameter or diagnoal = 4
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 08 Jan 2019, 05:18.
Last edited by Archit3110 on 08 Jan 2019, 09:20, edited 1 time in total.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9320
Location: Pune, India
Re: What is the radius of the largest sphere that can be placed inside a  [#permalink]

### Show Tags

08 Jan 2019, 06:19
Bunuel wrote:
What is the radius of the largest sphere that can be placed inside a cube of volume 64?

A. $$6\sqrt{2}$$

B. 8

C. 4

D. $$2\sqrt{2}$$

E. 2

Volume of cube = 64 = 4^3 = Side^3
So Side = 4

A sphere will touch the cube at the centre of each face. So the length of the side of the cube will be the diameter of the sphere.
Diameter of sphere = 4
So radius of sphere = 2

_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 22 Aug 2018
Posts: 11
Re: What is the radius of the largest sphere that can be placed inside a  [#permalink]

### Show Tags

08 Jan 2019, 06:22
Archit3110 wrote:
Bunuel wrote:
What is the radius of the largest sphere that can be placed inside a cube of volume 64?

A. $$6\sqrt{2}$$

B. 8

C. 4

D. $$2\sqrt{2}$$

E. 2

a^3=64
a=4

diameter or diagnoal = 4sqrt2

I don't think your reasoning is correct. Circle with radius $$2\sqrt{2}$$ has diameter of $$4\sqrt{2}$$, which is longer than the side of the cube, so the circle does not fit.

IMO ans should be 2
Re: What is the radius of the largest sphere that can be placed inside a   [#permalink] 08 Jan 2019, 06:22
Display posts from previous: Sort by