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

 It is currently 26 Jun 2019, 04:15

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

On the outside, a closed rectangular packing box, made out of cardboar

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55802
On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

27 Nov 2018, 00:35
1
4
00:00

Difficulty:

65% (hard)

Question Stats:

60% (02:32) correct 40% (02:36) wrong based on 84 sessions

HideShow timer Statistics

On the outside, a closed rectangular packing box, made out of cardboard, is 12 inches long, 18 inches wide, and 24 inches high. If the cardboard is 1/4 inch thick, which of the following is closest to the volume inside the box, in cubic inches?

A. 3,700
B. 3,900
C. 4,300
D. 4,700
E. 5,200

_________________
CEO
Joined: 18 Aug 2017
Posts: 3937
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

Updated on: 28 Nov 2018, 07:04
Bunuel wrote:
On the outside, a closed rectangular packing box, made out of cardboard, is 12 inches long, 18 inches wide, and 24 inches high. If the cardboard is 1/4 inch thick, which of the following is closest to the volume inside the box, in cubic inches?

A. 3,700
B. 3,900
C. 4,300
D. 4,700
E. 5,200

total volume 12* 18*24 = ~ 5184

thickness is 1/4 so 5184*1/4= 1296

0.25 thickness will reduce the dimensions if each side : 11.75*17.75*23.75 =~4900
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 27 Nov 2018, 11:06.
Last edited by Archit3110 on 28 Nov 2018, 07:04, edited 1 time in total.
Manager
Joined: 02 Oct 2018
Posts: 59
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

28 Nov 2018, 06:34
Bunuel wrote:
On the outside, a closed rectangular packing box, made out of cardboard, is 12 inches long, 18 inches wide, and 24 inches high. If the cardboard is 1/4 inch thick, which of the following is closest to the volume inside the box, in cubic inches?

A. 3,700
B. 3,900
C. 4,300
D. 4,700
E. 5,200

Original Dimensions are 12,18,24. Hence Original Volume is lbh = 18*12*24 = 5184

Thickness is 1/4th inch or 0.25 inches.

New Dimensions are 11.75, 17.75, 23.75. Hence new volume is 11.75*17.75*23.75 = 4954.
Closest value to this figure is option (d).

Is there any faster way to do this?
The calculations got a little complex with the decimals.
Manager
Joined: 17 Mar 2018
Posts: 68
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

29 Nov 2018, 08:41
ParthSanghavi wrote:
Bunuel wrote:
On the outside, a closed rectangular packing box, made out of cardboard, is 12 inches long, 18 inches wide, and 24 inches high. If the cardboard is 1/4 inch thick, which of the following is closest to the volume inside the box, in cubic inches?

A. 3,700
B. 3,900
C. 4,300
D. 4,700
E. 5,200

Original Dimensions are 12,18,24. Hence Original Volume is lbh = 18*12*24 = 5184

Thickness is 1/4th inch or 0.25 inches.

New Dimensions are 11.75, 17.75, 23.75. Hence new volume is 11.75*17.75*23.75 = 4954.
Closest value to this figure is option (d).

Is there any faster way to do this?
The calculations got a little complex with the decimals.

I thought of it the same way, and by calculator it was closer to D. However, it's about thickness not length of the dimension. It is 1/4 inch all across each of the dimension, and the above answer reduces the dimensions by .25 inch
I'm not sure what is the method and request Bunuel to please advise.
Manager
Joined: 27 Oct 2017
Posts: 64
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

29 Nov 2018, 09:32
1
Hi,

I think easiest way to solve this problem is:

volume of the box = 18*12*24 ----> 18*12*12*2 ---> 18*144*2 --->18*288-->(20-2)*288 --->5184.
so, E is out. It could be either C or D. To decide between C and D. Suppose we reduce the dimensions by 1 inch from all the sides. volume will be
17*11*23 -->(20-3)*23*11 --->391*11-->4301. C is out. so definitely it is D.

Regards
Nidhi
Manager
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

09 Dec 2018, 19:16
1
my approach
As thickness of the cardboard around the rectangular box ,
subtracted 2*.25 from each dimension
11.5*17.5*23.5 = 4729 (approximately)- Ans D
_________________
---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way
Intern
Joined: 01 Nov 2018
Posts: 2
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

10 Dec 2018, 00:20
V - dV = 12*18*24 - 1/2*18*24 - 12*(1/2)*24 - 12*18*(1/2) = 5184 - 468 = 4716

Posted from my mobile device
Intern
Joined: 26 Jul 2014
Posts: 11
Re: On the outside, a closed rectangular packing box, made out of cardboar  [#permalink]

Show Tags

10 Dec 2018, 09:46
the answer should be bigger than 11x17x23 but smaller than 12x18x24.

11x17x23 = 4304
12x18x24 = 5184

only D is possible
Re: On the outside, a closed rectangular packing box, made out of cardboar   [#permalink] 10 Dec 2018, 09:46
Display posts from previous: Sort by