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 Your Progress

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.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
09 Jul 2007, 06:26

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

63% (02:09) correct
37% (01:23) wrong based on 33 sessions

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
09 Jul 2007, 06:31

trahul4 wrote:

A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

D. 6*9=54. A cube has 6 sides, each of which has 9 cubes with one sides painted.
32223
21112
21112
21112
32223

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
09 Jul 2007, 06:33

trahul4 wrote:

A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

9 such cubes for each of the 6 surfaces = 9 * 6 = 54 cubes. (D)

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
09 Jul 2007, 07:26

Dear Wudy and Sumande

Please make the solution more clear.

First I don't understand how to get integer from 5 ^ 1/3 to get dimension of cube.

Also if you're talking about 9 cubes for every surface (3 x 3 x 3) and we're looknig for cubes with exactly one side painted that the solution is 6. One middle cube has only one painted side on every surface.
Or I didn't undertand the condition. Please explain.

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
10 Jul 2007, 08:49

trahul4 wrote:

A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

are you sure it's a 5 cubic centimeter cube or is it a 5 cubic metre cube?? there should be five 1 cubic centimeter cubes when a 5 cubic centimeter cube is cut up

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
10 Jul 2007, 09:38

Andrey2010 wrote:

Dear Wudy and Sumande

Please make the solution more clear.

First I don't understand how to get integer from 5 ^ 1/3 to get dimension of cube.

Also if you're talking about 9 cubes for every surface (3 x 3 x 3) and we're looknig for cubes with exactly one side painted that the solution is 6. One middle cube has only one painted side on every surface. Or I didn't undertand the condition. Please explain.

Thank you in advance.

Well. I though the cube is 5*5*5 centimeter, or the question does not make sense-- how a 5 cubic centimeter cube is divided into 1 cubic centimeter cube?

The number listed above is how many faces painted for each 1cm*1cm cube on a surface.
32223
21112
21112
21112
32223

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
10 Jul 2007, 09:46

wudy wrote:

Andrey2010 wrote:

Dear Wudy and Sumande

Please make the solution more clear.

First I don't understand how to get integer from 5 ^ 1/3 to get dimension of cube.

Also if you're talking about 9 cubes for every surface (3 x 3 x 3) and we're looknig for cubes with exactly one side painted that the solution is 6. One middle cube has only one painted side on every surface. Or I didn't undertand the condition. Please explain.

Thank you in advance.

Well. I though the cube is 5*5*5 centimeter, or the question does not make sense-- how a 5 cubic centimeter cube is divided into 1 cubic centimeter cube?

The number listed above is how many faces painted for each 1cm*1cm cube on a surface. 32223 21112 21112 21112 32223

My assumption was exactly the same. I didn't think that a cube of side 5^(1/3) cm being divided into 1 cubic centimeter cubes makes sense. So, I assumed that each of the sides of the cube was 5 cm (a 5 cm cube as opposed to 5 cubic centimeter).

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
30 Aug 2014, 16:54

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
01 Sep 2014, 00:55

Expert's post

trahul4 wrote:

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

Look at the image below:

Little cubes with exactly one painted side will be those 3*3=9, which are in the center of each face. (6 faces)*(9 per each) = 54.

A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
10 Sep 2014, 20:14

Bunuel wrote:

trahul4 wrote:

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

Look at the image below:

Little cubes with exactly one painted side will be those 3*3=9, which are in the center of each face. (6 faces)*(9 per each) = 54.

Hi Bunuel, When u show the image then i can quickly make out the answer and it gets very easy but this kind of 3-D accurate figure cant be drawn on paper and difficult to be thought in mind within 2 minutes. What should be done??

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
10 Sep 2014, 21:43

1

This post received KUDOS

snehamd1309 wrote:

Bunuel wrote:

trahul4 wrote:

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9 B. 61 C. 98 D. 54 E. 64

Look at the image below: Little cubes with exactly one painted side will be those 3*3=9, which are in the center of each face. (6 faces)*(9 per each) = 54.

Answer: D.

Hi Bunuel, When u show the image then i can quickly make out the answer and it gets very easy but this kind of 3-D accurate figure cant be drawn on paper and difficult to be thought in mind within 2 minutes. What should be done??

What is the best way to solve such questions?

Not Bunuel, but lets try..

Refer diagram below; just imagine one side of the cube

Attachment:

cube.png [ 1010 Bytes | Viewed 69 times ]

It will have 5 * 5 = 25 squares of 1 units

The border (the corner squares) will always be 2 side painted, so remaining are the pink shaded squares

There calculation per side = (5-2) * (5-2) = 3*3 = 9 (Two rows & two Columns are to be subtracted)

Total 6 sides = 9*6 = 54

Answer = 54 _________________

Kindly press "+1 Kudos" to appreciate

gmatclubot

Re: A cube of side 5cm is painted on all its side. If it is sliced into 1
[#permalink]
10 Sep 2014, 21:43