A carpenter constructed a rectangular sandbox with a : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 09:48

### 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

# A carpenter constructed a rectangular sandbox with a

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7071

Kudos [?]: 92998 [0], given: 10541

A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

13 Aug 2012, 06:02
Expert's post
5
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

77% (01:38) correct 23% (00:45) wrong based on 1043 sessions

### HideShow timer Statistics

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Practice Questions
Question: 18
Page: 154
Difficulty: 550
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7071

Kudos [?]: 92998 [1] , given: 10541

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

13 Aug 2012, 06:02
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
SOLUTION

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Since given that $$volume=L*W*H=10$$, then $$new \ volume=(2L)*(2W)*(2H)=(2*2*2)*(L*W*H)=8*10=80$$.

_________________
Senior Manager
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 368 [0], given: 50

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

13 Aug 2012, 07:16
Let x,y & z be L,W & H
so xyz = 10 cu ft
As per question if we double the lengths on all dimensions
we get (2x)(2y)(2z)=8 xyz= 8*10= 80
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Manager
Joined: 30 Sep 2009
Posts: 124
Followers: 0

Kudos [?]: 27 [0], given: 183

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

13 Aug 2012, 07:21
volume =l*b*h =10 cubic feet
Now we have twice as long, twice as wide, and twice as high as the first sandbox,
L=2*l
B=2*b
H=2*h
final volume =L*B*H =2*l*2*b*2*h=8*(l*b*h) =8*10=80 cubic feet

Manager
Joined: 28 Sep 2011
Posts: 70
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 31 [0], given: 10

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

13 Aug 2012, 08:16
V=LWH

Original Volume = 10

In order to keep things simple. I made Height = 5, Length = 2, and Width = 1

The second statement says double everything.

Height = 10, Length = 4, and Width = 2

V = 80
Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7071

Kudos [?]: 92998 [0], given: 10541

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

17 Aug 2012, 00:02
SOLUTION

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Since given that $$volume=L*W*H=10$$, then $$new \ volume=(2L)*(2W)*(2H)=(2*2*2)*(L*W*H)=8*10=80$$.

_________________
Intern
Joined: 04 Apr 2013
Posts: 31
Followers: 0

Kudos [?]: 14 [0], given: 4

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

12 Apr 2013, 08:52
A quick note on doubling. When you double a length you have 2*L1. When you double all lengths of a rectangle you have (2*L1)(2*L2) = A. An increase of 2^2 or 4. When you double all lengths of a rectangular prism you have (2*L1)(2*L2)(2*L3) = V. An increase of 2^3 or 8.

This leads to the basic relationship:

Line: 2*original size
Rectangle: 4*original size
Rectangular Prism: 8*original size

You can do the math out or memorize this relationship to speed things up.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13427
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

01 Dec 2014, 15:17
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 47

Kudos [?]: 1928 [0], given: 193

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

02 Dec 2014, 01:30
Answer = (D) 80

Original volume = 10 cubic feet

All 3 dimensions made "twice"

New volume = 10 * 2 * 2 * 2 = 80
_________________

Kindly press "+1 Kudos" to appreciate

Director
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 506
Location: United States (CA)
Followers: 19

Kudos [?]: 181 [0], given: 2

Re: A carpenter constructed a rectangular sandbox with a [#permalink]

### Show Tags

24 May 2016, 09:43
Bunuel wrote:
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

We are given a rectangular sandbox with a given capacity, which is the volume of the sandbox.

Therefore, we know that the volume of the sandbox is: (L)(W)(H) = 10 cubic feet

We then are told that the carpenter doubles the length, the width, and the height. We can represent this doubling as (2L)(2W)(2H). Thus

(2L)(2W)(2H) = (2)(2)(2)(L)(W)(H) = (2)(2)(2)(10) = 80 cubic feet

_________________

Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: A carpenter constructed a rectangular sandbox with a   [#permalink] 24 May 2016, 09:43
Similar topics Replies Last post
Similar
Topics:
1 A carpenter makes 3 bunk beds every day. A military school needs to or 3 14 Jul 2016, 00:52
4 A carpenter wants to ship a copper rod to his new construction locatio 3 01 Nov 2014, 13:23
3 Four carpenters can individually complete a particular task 5 05 Jun 2012, 09:02
6 In the rectangular coordinate system 4 25 Nov 2011, 15:59
Rectangular door with brass rectangular trim 1 04 Oct 2011, 00:11
Display posts from previous: Sort by

# A carpenter constructed a rectangular sandbox with a

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

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.