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A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
09 Jul 2007, 06:26
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Difficulty:
45% (medium)
Question Stats:
66% (02:17) correct
34% (01:46) wrong based on 247 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).
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Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
01 Sep 2014, 00:55
1
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Expert's post
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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 3318 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)
Re: A cube of side 5cm is painted on all its side. If it is sliced into 1 [#permalink]
19 Oct 2015, 13:01
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. _________________
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