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A large cube 10cm on a side is composed of smaller cubes 1

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VP
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A large cube 10cm on a side is composed of smaller cubes 1 [#permalink] New post 18 Nov 2006, 18:11
00:00
A
B
C
D
E

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(N/A)

Question Stats:

100% (02:05) correct 0% (00:00) wrong based on 1 sessions
A large cube 10cm on a side is composed of smaller cubes 1 cm on a side. The large cube is
printed red on its outside surfaces and then all the cubes are mixed in a drum.
If one cube is selected randomly, which of the following is the approximate probability
that the cube will have at least one red face?

A) 1:6
B) 1:5
C) 1:4
D) 1:3
E) 1:2
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 [#permalink] New post 18 Nov 2006, 19:00
Is it 1 : 2

Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)
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 [#permalink] New post 18 Nov 2006, 23:16
agree with E.

the painted are 488 out of total 1000.
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 [#permalink] New post 18 Nov 2006, 23:56
Quick question
Here you said

Quote:
Total smaller cubes = 10^3


I don't think there are a 1000 cubes inside of this cube?
Or are you talking about total area?
The above equation is for volume which is not relevant, we are looking for surface area right?
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 [#permalink] New post 19 Nov 2006, 02:26
It is not surface area, nor is it volume.

you need to count the no of small cubes.
VP
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 [#permalink] New post 19 Nov 2006, 20:01
anindyat wrote:
Is it 1 : 2

Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)


Can you please tell me how you arrived at that? Totally lost :?
VP
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 [#permalink] New post 19 Nov 2006, 20:04
anindyat wrote:
Is it 1 : 2

Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)


Can you please tell me how you arrived at that? Totally lost :?
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 [#permalink] New post 19 Nov 2006, 23:24
kripalkavi wrote:
anindyat wrote:
Is it 1 : 2

Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)


Can you please tell me how you arrived at that? Totally lost :?

In simple terms, there is 8x8x8 cube inside 10x10x10 which remains unpainted (as top and bottom i.e. 1st and 10th cubes are painted)
VP
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 [#permalink] New post 20 Nov 2006, 00:16
Juaz wrote:
kripalkavi wrote:
anindyat wrote:
Is it 1 : 2

Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)


Can you please tell me how you arrived at that? Totally lost :?

In simple terms, there is 8x8x8 cube inside 10x10x10 which remains unpainted (as top and bottom i.e. 1st and 10th cubes are painted)

Thanks! As youy might have guessed, OA is E
  [#permalink] 20 Nov 2006, 00:16
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