It is currently 18 Dec 2017, 10:45

# Final Week of R1 Decisions:

CHAT Rooms | MIT Sloan | McCombs

### 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

# The figure above shows a side view of the insert and the four componen

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 06 Jan 2015
Posts: 250

Kudos [?]: 122 [0], given: 476

Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
The figure above shows a side view of the insert and the four componen [#permalink]

### Show Tags

30 Jul 2016, 05:16
4
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

69% (01:51) correct 31% (02:10) wrong based on 113 sessions

### HideShow timer Statistics

The figure above shows a side view of the insert and the four components of a box designed to package four lightbulbs. The package is a rectangular box, whose base is a square with a side of 8 inches and whose height is 12 inches. A single rectangular insert is folded twice to form two identical diagonal planes, one at each end, and a horizontal plane in the middle, so that the box is divided into four identical compartments. What is the area of the insert in square inches?

A) 192

B) 224

C) $$64+4\sqrt{52}$$

D) $$64+96\sqrt{2}$$

E) $$64+128\sqrt{2}$$

[Reveal] Spoiler:
Attachment:

Figure.jpg [ 4.78 KiB | Viewed 2506 times ]
[Reveal] Spoiler: OA

_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Last edited by Bunuel on 30 Jul 2016, 06:14, edited 1 time in total.
Edited the question.

Kudos [?]: 122 [0], given: 476

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10425

Kudos [?]: 3702 [2], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: The figure above shows a side view of the insert and the four componen [#permalink]

### Show Tags

30 Jul 2016, 12:19
2
KUDOS
Expert's post
Hi NandishSS,

While this question looks complex, it's actually built around some fairly simple Geometry. It might help to break this calculation down into 'pieces' and think about the rules involved in this 3-dimensional shape.

To start, the 'insert' is a rectangle that's been folded in 2 spots. By definition, it has a length and a width; once we figure out those two dimensions, we can figure out its area.

We're meant to assume that the insert 'touches' the sides, so the width of the insert has to match the width of the box. Since the base of the box is an 8-inch square, the width of the insert is also 8 inches.

Next, we'll work on the 'middle' horizontal piece (it's the easiest part) - since it's horizontal, then it has the same length as the box (which is also 8 inches). Thus, that 'middle piece' is an 8x8 square = 64 in^2

The two diagonal pieces are the same length, so once we figure out one, we can double it and get the total area of those 2 'pieces.' You should notice how a bunch of right triangles are formed. The base of each of those triangles is 8 and the height is 6. This is a classic 3/4/5 right triangle that's been doubled to become a 6/8/10. Thus, the two diagonal pieces are 8x10 rectangles = 80 in^2 each.

64+80+80 = 224

[Reveal] Spoiler:
B

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Kudos [?]: 3702 [2], given: 173 Senior Manager Joined: 06 Jan 2015 Posts: 250 Kudos [?]: 122 [0], given: 476 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) Re: The figure above shows a side view of the insert and the four componen [#permalink] ### Show Tags 24 Aug 2016, 07:38 NandishSS wrote: The figure above shows a side view of the insert and the four components of a box designed to package four lightbulbs. The package is a rectangular box, whose base is a square with a side of 8 inches and whose height is 12 inches. A single rectangular insert is folded twice to form two identical diagonal planes, one at each end, and a horizontal plane in the middle, so that the box is divided into four identical compartments. What is the area of the insert in square inches? A) 192 B) 224 C) $$64+4\sqrt{52}$$ D) $$64+96\sqrt{2}$$ E) $$64+128\sqrt{2}$$ [Reveal] Spoiler: Attachment: Figure.jpg VeritasPrepKarishma, Abhishek009, Engr2012, Skywalker18, Bunuel Any other method to approach this problem _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Kudos [?]: 122 [0], given: 476 Manager Joined: 08 Jan 2015 Posts: 86 Kudos [?]: 10 [0], given: 53 Re: The figure above shows a side view of the insert and the four componen [#permalink] ### Show Tags 04 Sep 2016, 04:15 NandishSS wrote: NandishSS wrote: The figure above shows a side view of the insert and the four components of a box designed to package four lightbulbs. The package is a rectangular box, whose base is a square with a side of 8 inches and whose height is 12 inches. A single rectangular insert is folded twice to form two identical diagonal planes, one at each end, and a horizontal plane in the middle, so that the box is divided into four identical compartments. What is the area of the insert in square inches? A) 192 B) 224 C) $$64+4\sqrt{52}$$ D) $$64+96\sqrt{2}$$ E) $$64+128\sqrt{2}$$ [Reveal] Spoiler: Attachment: Figure.jpg VeritasPrepKarishma, Abhishek009, Engr2012, Skywalker18, Bunuel Any other method to approach this problem The solution above is pretty straightforward. Kudos [?]: 10 [0], given: 53 Senior Manager Joined: 03 Apr 2013 Posts: 291 Kudos [?]: 51 [0], given: 862 Re: The figure above shows a side view of the insert and the four componen [#permalink] ### Show Tags 13 Nov 2017, 02:00 EMPOWERgmatRichC wrote: Hi NandishSS, While this question looks complex, it's actually built around some fairly simple Geometry. It might help to break this calculation down into 'pieces' and think about the rules involved in this 3-dimensional shape. To start, the 'insert' is a rectangle that's been folded in 2 spots. By definition, it has a length and a width; once we figure out those two dimensions, we can figure out its area. We're meant to assume that the insert 'touches' the sides, so the width of the insert has to match the width of the box. Since the base of the box is an 8-inch square, the width of the insert is also 8 inches. Next, we'll work on the 'middle' horizontal piece (it's the easiest part) - since it's horizontal, then it has the same length as the box (which is also 8 inches). Thus, that 'middle piece' is an 8x8 square = 64 in^2 The two diagonal pieces are the same length, so once we figure out one, we can double it and get the total area of those 2 'pieces.' You should notice how a bunch of right triangles are formed. The base of each of those triangles is 8 and the height is 6. This is a classic 3/4/5 right triangle that's been doubled to become a 6/8/10. Thus, the two diagonal pieces are 8x10 rectangles = 80 in^2 each. 64+80+80 = 224 Final Answer: [Reveal] Spoiler: B GMAT assassins aren't born, they're made, Rich Hi. Please help, I don't even understand the language of the question. Please break the question down as I cant connect the language to the given diagram. _________________ Spread some love..Like = +1 Kudos Kudos [?]: 51 [0], given: 862 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7804 Kudos [?]: 18159 [1], given: 236 Location: Pune, India Re: The figure above shows a side view of the insert and the four componen [#permalink] ### Show Tags 13 Nov 2017, 03:47 1 This post received KUDOS Expert's post NandishSS wrote: The figure above shows a side view of the insert and the four components of a box designed to package four lightbulbs. The package is a rectangular box, whose base is a square with a side of 8 inches and whose height is 12 inches. A single rectangular insert is folded twice to form two identical diagonal planes, one at each end, and a horizontal plane in the middle, so that the box is divided into four identical compartments. What is the area of the insert in square inches? A) 192 B) 224 C) $$64+4\sqrt{52}$$ D) $$64+96\sqrt{2}$$ E) $$64+128\sqrt{2}$$ [Reveal] Spoiler: Attachment: Figure.jpg Too much of confusing explanation is given in the question which makes me think that the diagram tells it all. That is pretty much what the first sentence of the question says too. We see the 8 x 12 rectangular box as shown in the figure. A single rectangular insert is folded twice to make four identical compartments. We see in the figure that we have 4 identical right triangular compartments. So the insert is just the lightening shape shown in the figure. We need its area. It is actually a rectangle which is folded into this shape. If we open it up, we will get a rectangle and its area will be the total height * Width (which is 8 since the box has a square base of side 8) Now all we need is the height. Since the compartments are equal, height of each compartment is 6. So each diagonal in the figure is 10 (using multiple of pythagorean triplet 3-4-5). Total height of the rectangular insert = 10 + 8 + 10 = 28 Its area = 28*8 = 224 _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Kudos [?]: 18159 [1], given: 236

Intern
Joined: 06 Oct 2017
Posts: 5

Kudos [?]: 0 [0], given: 67

Re: The figure above shows a side view of the insert and the four componen [#permalink]

### Show Tags

13 Nov 2017, 18:35
NandishSS wrote:
The figure above shows a side view of the insert and the four components of a box designed to package four lightbulbs. The package is a rectangular box, whose base is a square with a side of 8 inches and whose height is 12 inches. A single rectangular insert is folded twice to form two identical diagonal planes, one at each end, and a horizontal plane in the middle, so that the box is divided into four identical compartments. What is the area of the insert in square inches?

A) 192

B) 224

C) $$64+4\sqrt{52}$$

D) $$64+96\sqrt{2}$$

E) $$64+128\sqrt{2}$$

[Reveal] Spoiler:
Attachment:
Figure.jpg

I'm surprised this is an official GMAT question, it's pretty badly worded. I took me a good 10 minutes to understand that we're dealing with a 3D shape, and that the base (not shown) is 8x8...

Kudos [?]: 0 [0], given: 67

Re: The figure above shows a side view of the insert and the four componen   [#permalink] 13 Nov 2017, 18:35
Display posts from previous: Sort by