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A certain cube is divided into n smaller cubes. What is the perimeter

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d999
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A certain cube is divided into n smaller cubes. What is the perimeter [#permalink] New post   11 Mar 2020, 02:49
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A certain cube is divided into n smaller cubes. What is the perimeter of one side of one of the smaller cube, in inches?

(1) n = 27

(2) The volume of one of the smaller cubes is 64 cubic inches.
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chetan2u
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Re: A certain cube is divided into n smaller cubes. What is the perimeter [#permalink] New post   11 Mar 2020, 20:04
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A certain cube is divided into n smaller cubes. What is the perimeter of one side of one of the smaller cube, in inches?
So we require to know the side of the smaller cube

(1) n = 27
Nothing about side

(2) The volume of one of the smaller cubes is 64 cubic inches.
volume = side^3=64=4*4*4, so side = 4......
Therefore, perimeter of one side = 2(4+4)=2*8=16
Suff

B
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Re: A certain cube is divided into n smaller cubes. What is the perimeter [#permalink] New post   08 Jul 2020, 15:19
This question is wrong. It does not say that the cubes are equally divided. If the cubes are equally divided, then it is B. Otherwise, if the cubes are divided differently, then it is E.
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Re: A certain cube is divided into n smaller cubes. What is the perimeter [#permalink] New post   16 Sep 2020, 05:13
A question of very poor quality. No where is it given that all the cubes are of the same size
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A certain cube is divided into n smaller cubes. What is the perimeter [#permalink] New post   05 Nov 2022, 17:14
Hi!
Do we need information about the side?
If the cube is divided in exactly 27 smaller cubes. Don't we automatically know the lenght of each of these cubes?

Let's suppose these are the properties of the bigger cube:
L = 3x
Volume = 27*x^3

Therefore. If we divide this cube in 27 smaller cubes. Each of them should have L = x in order to have a total volumen of 27*x^3
And finally the perimeter of this smaller cube would be 4x

What are the flaws behind my reasoning?

Greetings,
Kevin


chetan2u wrote:
A certain cube is divided into n smaller cubes. What is the perimeter of one side of one of the smaller cube, in inches?
So we require to know the side of the smaller cube

(1) n = 27
Nothing about side

(2) The volume of one of the smaller cubes is 64 cubic inches.
volume = side^3=64=4*4*4, so side = 4......
Therefore, perimeter of one side = 2(4+4)=2*8=16
Suff

B
GMAT Club Bot
gmatclubot
A certain cube is divided into n smaller cubes. What is the perimeter [#permalink]
05 Nov 2022, 17:14
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Bunuel
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