It is currently 17 Feb 2019, 12:17

### 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

# The rectangular solid above is made up of eight cubes of the

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5537
Followers: 89

Kudos [?]: 1115 [0], given: 5134

The rectangular solid above is made up of eight cubes of the [#permalink]  13 Jul 2018, 11:54
Expert's post
00:00

Question Stats:

50% (01:03) correct 50% (01:44) wrong based on 16 sessions
Attachment:

cube.jpg [ 6.26 KiB | Viewed 608 times ]

The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?

A. $$\frac{1}{6}$$

B. $$\frac{3}{14}$$

C. $$\frac{1}{4}$$

D. $$\frac{2}{7}$$

E. $$\frac{1}{3}$$
[Reveal] Spoiler: OA

_________________
Director
Joined: 20 Apr 2016
Posts: 815
WE: Engineering (Energy and Utilities)
Followers: 9

Kudos [?]: 586 [1] , given: 113

Re: The rectangular solid above is made up of eight cubes of the [#permalink]  15 Jul 2018, 07:55
1
KUDOS
Carcass wrote:
Attachment:
The attachment cube.jpg is no longer available

The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?

A. $$\frac{1}{6}$$

B. $$\frac{3}{14}$$

C. $$\frac{1}{4}$$

D. $$\frac{2}{7}$$

E. $$\frac{1}{3}$$

Here,

As per the diagram,
The total area that can be blue = 8 sides in the front + 8 sides in the back + 4 sides in the top + 4 sides in the bottom + 2 sides in left side + 2 sides in the right side = 8 + 8 + 4 + 4 + 2 + 2 = 28 sides

So since the greatest no. of sides that can be painted = 8

Therefore the greatest fraction of the total surface area of the solid that could be blue = $$\frac{8}{28} = \frac{2}{7}$$
Attachments

Fig 3.jpg [ 16.98 KiB | Viewed 565 times ]

Fig 2.jpg [ 18.04 KiB | Viewed 564 times ]

Fig 1.jpg [ 21.41 KiB | Viewed 565 times ]

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Moderator
Joined: 18 Apr 2015
Posts: 5537
Followers: 89

Kudos [?]: 1115 [0], given: 5134

Re: The rectangular solid above is made up of eight cubes of the [#permalink]  15 Jul 2018, 08:34
Expert's post
Super explanation.

Regards
_________________
Re: The rectangular solid above is made up of eight cubes of the   [#permalink] 15 Jul 2018, 08:34
Display posts from previous: Sort by