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

 It is currently 21 Oct 2019, 16:44

### 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

# A perfectly spherical satellite with a radius of 4 feet is being packe

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4136
GPA: 3.39
A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

06 Mar 2017, 23:22
2
4
00:00

Difficulty:

75% (hard)

Question Stats:

55% (02:17) correct 45% (02:53) wrong based on 107 sessions

### HideShow timer Statistics

A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=($$\frac{4}{3}$$ πr^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

_________________
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

07 Mar 2017, 01:49
4
1
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
##### General Discussion
Intern
Joined: 07 Jun 2012
Posts: 47
GMAT Date: 11-01-2012
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

07 Mar 2017, 12:06
VeritasPrepKarishma wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

I have no clue what was just discussed?VeritasPrepKarishma.. what is the Question please? any diagrams?
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

08 Mar 2017, 01:20
deependra1234 wrote:
VeritasPrepKarishma wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

I have no clue what was just discussed?VeritasPrepKarishma.. what is the Question please? any diagrams?

You have a sphere (satellite) which you have to fit into into a rectangular box (crate).
For the sphere to fit into the box, the diameter of the sphere should be less than or equal to the length, breadth and height of the box.
Hope it all makes sense now.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 531
Location: India
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

08 Mar 2017, 01:33
since the radius is 4 ft. the smallest side should be equal to the diameter. hence the shortest side will be 8ft and therefore the rest of the side will be 10ft and 12 ft.

volume will be 8 x 10 x 12 = 960 ft^3

Option D
_________________
GMAT Mentors
Senior Manager
Joined: 24 Nov 2015
Posts: 490
Location: United States (LA)
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

08 Mar 2017, 03:19
radius of sphere = 4ft, so diameter is 8 ft
minimum dimension of the rectangular box will have to be 8 * 8 * 8 in order for the sphere to be perfectly fitted into the box , but the dimensions have to be consecutive integers
so the min value is 8, 10 and 12
volume of the rectangular box = 8 * 10 * 12 = 960
correct answer - D
Intern
Joined: 07 Jun 2012
Posts: 47
GMAT Date: 11-01-2012
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

08 Mar 2017, 05:05
Goddd and i was solving something completely different and thinking how is it a sub 600 Qs... As usual ..thankyou so much VeritasPrepKarishma
Director
Joined: 12 Nov 2016
Posts: 699
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

12 Mar 2017, 01:36
VeritasPrepKarishma wrote:
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

Since the radius of the satellite is 4 feet, the diameter is 8 feet. So the minimum inside dimensions of the crate need to be 8 by 8 by 8.

Since the inside dimensions of the crate are consecutive even integers, the smallest such crate that can be used would have the dimension 8 by 10 by 12.

The volume of such a crate would be 8*10*12 = 960 cubic feet

This is a logical and succinct explanation- thank you
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

12 Sep 2018, 18:39
1
A perfectly spherical satellite with a radius of 4 feet is being packed for shipment to its launch site. If the inside dimensions of the rectangular crates available for shipment, when measured in feet, are consecutive even integers, then what is the volume of the smallest available crate that can be used?
(Note: the volume of a sphere is given by the equation v=(4/3)pie r^3 .)

(A) 48
(B) 192
(C) 480
(D) 960
(E) 1,680

The shortest dimension of the rectangular crate has to be at least the diameter of the spherical satellite; therefore, that dimension has to be at least 8. Since the dimensions of the crate are consecutive even integers, the smallest possible volume of the crate is:

8 x 10 x 12 = 960

_________________

# 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.

Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
Re: A perfectly spherical satellite with a radius of 4 feet is being packe  [#permalink]

### Show Tags

03 Feb 2019, 16:41
Seems like they try to mislead you by giving you the volume for the sphere at the end. If you sketch a picture you can quickly see that it's not about the volume, but rather the 2r length of the sphere (8) which is the minimum side length. Since the sides are consecutive ints: 8*10*12 = 960, D.
Re: A perfectly spherical satellite with a radius of 4 feet is being packe   [#permalink] 03 Feb 2019, 16:41
Display posts from previous: Sort by

# A perfectly spherical satellite with a radius of 4 feet is being packe

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne