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

 It is currently 13 Oct 2019, 23:29 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  A flat square piece of cardboard is to be made into a cubic open box b

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

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58335
A flat square piece of cardboard is to be made into a cubic open box b  [#permalink]

Show Tags 00:00

Difficulty:   65% (hard)

Question Stats: 47% (01:47) correct 53% (01:28) wrong based on 59 sessions

HideShow timer Statistics

A flat square piece of cardboard is to be made into a cubic open box by cutting 4 equal squares from its edges. What is the volume of the box created?

(1) The area of the cardboard piece is 144 square inches.
(2) Each of the squares that are cut from the cardboard has an area of 16 square inches.

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
A flat square piece of cardboard is to be made into a cubic open box b  [#permalink]

Show Tags

1
Bunuel wrote:
A flat square piece of cardboard is to be made into a cubic open box by cutting 4 equal squares from its edges. What is the volume of the box created?

(1) The area of the cardboard piece is 144 square inches.
(2) Each of the squares that are cut from the cardboard has an area of 16 square inches.

Question : What is the volume of the box created?

The figure looks like as shown in figure
if the side of each face is a
the side of bigger square must be 3a
hence to answer the question we need either side of the cubic box or the side of the square cardboard

Statement 1: The area of the cardboard piece is 144 square inches.
i.e. $$(3a)^2 = 144$$
i.e. $$a = 4$$
SUFFICIENT

Statement 2: Each of the squares that are cut from the cardboard has an area of 16 square inches
i.e. $$(a)^2 = 16$$
i.e. $$a = 4$$
SUFFICIENT

Attachments

File comment: www.GMATinsight.com 12.png [ 6.46 KiB | Viewed 674 times ]

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Intern  B
Joined: 08 Jul 2018
Posts: 8
Re: A flat square piece of cardboard is to be made into a cubic open box b  [#permalink]

Show Tags

1
GMATinsight wrote:
Bunuel wrote:
A flat square piece of cardboard is to be made into a cubic open box by cutting 4 equal squares from its edges. What is the volume of the box created?

(1) The area of the cardboard piece is 144 square inches.
(2) Each of the squares that are cut from the cardboard has an area of 16 square inches.

Question : What is the volume of the box created?

The figure looks like as shown in figure
if the side of each face is a
the side of bigger square must be 3a
hence to answer the question we need either side of the cubic box or the side of the square cardboard

Statement 1: The area of the cardboard piece is 144 square inches.
i.e. $$(3a)^2 = 144$$
i.e. $$a = 4$$
SUFFICIENT

Statement 2: Each of the squares that are cut from the cardboard has an area of 16 square inches
i.e. $$(a)^2 = 16$$
i.e. $$a = 4$$
SUFFICIENT

How did you take the side of a bigger square to be 3a? and also, shouldn't the complete area of the cardboard be divided by (5a)^2 as it consists of 5 squares of the same length?
Manager  G
Joined: 21 Jun 2017
Posts: 231
Concentration: Finance, Economics
WE: Corporate Finance (Commercial Banking)
Re: A flat square piece of cardboard is to be made into a cubic open box b  [#permalink]

Show Tags

IMO it should be C.

Bunuel Can you please look into this one.

Thanks :D
_________________
Even if it takes me 30 attempts, I am determined enough to score 740+ in my 31st attempt. This is it, this is what I have been waiting for, now is the time to get up and fight, for my life is 100% my responsibility.

Dil ye Ziddi hai !!!

GMAT 1 - 620 .... Disappointed for 6 months. Im back Im back. Bhai dera tera COMEBACK !!!
Manager  S
Joined: 09 Jul 2018
Posts: 63
A flat square piece of cardboard is to be made into a cubic open box b  [#permalink]

Show Tags

KaulMeAnkit wrote:
GMATinsight wrote:
Bunuel wrote:
A flat square piece of cardboard is to be made into a cubic open box by cutting 4 equal squares from its edges. What is the volume of the box created?

(1) The area of the cardboard piece is 144 square inches.
(2) Each of the squares that are cut from the cardboard has an area of 16 square inches.

Question : What is the volume of the box created?

The figure looks like as shown in figure
if the side of each face is a
the side of bigger square must be 3a
hence to answer the question we need either side of the cubic box or the side of the square cardboard

Statement 1: The area of the cardboard piece is 144 square inches.
i.e. $$(3a)^2 = 144$$
i.e. $$a = 4$$
SUFFICIENT

Statement 2: Each of the squares that are cut from the cardboard has an area of 16 square inches
i.e. $$(a)^2 = 16$$
i.e. $$a = 4$$
SUFFICIENT

How did you take the side of a bigger square to be 3a? and also, shouldn't the complete area of the cardboard be divided by (5a)^2 as it consists of 5 squares of the same length?

Because if you dont take the length of the square base of the cube equal t that of edges you would get a cuboid not a cube. A flat square piece of cardboard is to be made into a cubic open box b   [#permalink] 26 Sep 2018, 23:15
Display posts from previous: Sort by

A flat square piece of cardboard is to be made into a cubic open box b

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

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