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

 It is currently 23 Oct 2019, 06:35

### 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

# If the volume of the cube above is 64 cubic centimeters, what is the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
If the volume of the cube above is 64 cubic centimeters, what is the  [#permalink]

### Show Tags

18 Jan 2018, 03:10
00:00

Difficulty:

25% (medium)

Question Stats:

79% (00:56) correct 21% (02:00) wrong based on 81 sessions

### HideShow timer Statistics

If the volume of the cube above is 64 cubic centimeters, what is the shortest distance, in centimeters, from point A to point B?

A. $$4\sqrt{2}$$

B. $$4\sqrt{3}$$

C. $$4\sqrt{6}$$

D. $$8\sqrt{2}$$

E. $$8\sqrt{3}$$

Attachment:

2018-01-18_1409.png [ 3.79 KiB | Viewed 2539 times ]

_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 1153
Re: If the volume of the cube above is 64 cubic centimeters, what is the  [#permalink]

### Show Tags

18 Jan 2018, 04:48
Bunuel wrote:

If the volume of the cube above is 64 cubic centimeters, what is the shortest distance, in centimeters, from point A to point B?

A. $$4\sqrt{2}$$

B. $$4\sqrt{3}$$

C. $$4\sqrt{6}$$

D. $$8\sqrt{2}$$

E. $$8\sqrt{3}$$

Attachment:
2018-01-18_1409.png

We'll go for Precise since there is an explicit rule that addresses this question.

This doesn't come up too often, but the diagonal of a cube has length $$\sqrt{3}a$$, where a is the length of the side.
Since the volume is 64, then the length of each side is 4 (as 4^3=64) so the length of the diagonal is $$4\sqrt{3}$$

Note - to calculate this, you need to use the Pythagorean theorem twice - once to find the diagonal of the side and the second time to find the diagonal of the cube.
The general equation for the diagonal of a rectangular solid is $$\sqrt{a^2+b^2+c^2}$$ where a,b,c are the lengths of the sides.
_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4771
Location: India
GPA: 3.5
Re: If the volume of the cube above is 64 cubic centimeters, what is the  [#permalink]

### Show Tags

18 Jan 2018, 07:52
Bunuel wrote:

If the volume of the cube above is 64 cubic centimeters, what is the shortest distance, in centimeters, from point A to point B?

A. $$4\sqrt{2}$$

B. $$4\sqrt{3}$$

C. $$4\sqrt{6}$$

D. $$8\sqrt{2}$$

E. $$8\sqrt{3}$$

Attachment:
2018-01-18_1409.png

Sides of the cube is 4 cm

Diagonal of a cube is $$a\sqrt{3}$$ = $$4\sqrt{3}$$ answer will be (B)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Joined: 07 Mar 2017
Posts: 1
Re: If the volume of the cube above is 64 cubic centimeters, what is the  [#permalink]

### Show Tags

18 Jan 2018, 23:14
a^3= 64
a=4

Diagonal=a(root3)= 4(root3) ans B
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: If the volume of the cube above is 64 cubic centimeters, what is the  [#permalink]

### Show Tags

20 Jan 2018, 07:38
Bunuel wrote:

If the volume of the cube above is 64 cubic centimeters, what is the shortest distance, in centimeters, from point A to point B?

A. $$4\sqrt{2}$$

B. $$4\sqrt{3}$$

C. $$4\sqrt{6}$$

D. $$8\sqrt{2}$$

E. $$8\sqrt{3}$$

Attachment:
2018-01-18_1409.png

The diagonal of a cube = side√3, and the shortest distance from A to B is the diagonal.

Since the volume is 64, the side is 4, and the diagonal is 4√3.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If the volume of the cube above is 64 cubic centimeters, what is the   [#permalink] 20 Jan 2018, 07:38
Display posts from previous: Sort by