BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Will at least three identical cubes fit inside a cylindrical shipping container? (1) The edge of one of the cubical box

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Will at least three identical cubes fit inside a cylindrical shipping container? (1) The edge of one of the cubical box

by BTGmoderatorDC » Thu Feb 13, 2020 5:00 pm
Will at least three identical cubes fit inside a cylindrical shipping container?

(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.

(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder



OA A

Source: Princeton Review
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

Re: Will at least three identical cubes fit inside a cylindrical shipping container? (1) The edge of one of the cubical

by Jay@ManhattanReview » Thu Feb 13, 2020 10:03 pm
BTGmoderatorDC wrote: ↑
Thu Feb 13, 2020 5:00 pm
 Will at least three identical cubes fit inside a cylindrical shipping container?

(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.

(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder

OA A

Source: Princeton Review
Let's take each statement one by one.

(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.

The maximum length of the edge of the cube to be fitted inside a cylinder with d diameter = d/√2 = d/1.414.

Given is the length of the edge = 4/5 of d = d/(5/4) = d/1.25

Since d/1.25 > d/1.414, we can conclude that no cube can fit inside the cylinder. Sufficient.

(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder.

We are not sure whether the capacity enhancement of the cylinder is taken place after increasing its (1) only diameter (2) only length (3) diameter as well as length, if yes in what proportion? (4) diameter increased, but length decreased (5) length increased, but diameter decreased

So there are many possibilities. So, we cannot conclude wether at least three identical cubes can fit. Insufficient.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review

Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: Will at least three identical cubes fit inside a cylindrical shipping container? (1) The edge of one of the cubical

by swerve » Fri Feb 14, 2020 11:46 am
BTGmoderatorDC wrote: ↑
Thu Feb 13, 2020 5:00 pm
 Will at least three identical cubes fit inside a cylindrical shipping container?

(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.

(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder



OA A

Source: Princeton Review
1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.

Let the diameter of cylinder \(= 5\)
\(\Longrightarrow\) Edge of cube \(= \dfrac{4}{5} \cdot 5 = 4\)

For the cube to fit in the cylinder, the diagonal of the cube should be at least equal to the diameter
\(\Longrightarrow\) Diagonal \(= 2\sqrt{2}\cdot\)edge
\(\Longrightarrow\) Diagonal \(= 42\sqrt{2} \approx 5.65 \)

So, the cube will definitely not fit in the cylinder - A Definite NO

Sufficient \(\Large{\color{green}\checkmark}\)

2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder

Nothing can be deduced about the radius and height of the cylinder with the given volume.

Insufficient \(\Large{\color{red}\chi}\)

The correct option is _A_
Top
Post new topic Post Reply
• Page 1 of 1