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A large cube is made up of smaller equally sized cubes, where each sma

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Joined: 26 Dec 2015
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Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
A large cube is made up of smaller equally sized cubes, where each sma [#permalink]

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New post 30 Aug 2017, 15:22
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  35% (medium)

Question Stats:

62% (02:17) correct 38% (01:04) wrong based on 34 sessions

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A large cube is made up of smaller equally sized cubes, where each smaller cube has sides \(\frac{1}{3}\) the length of the large cube. What approx % of the total volume is one of the small cubes?

A) 3

B) 3.7

C) 9

D) 11.11

E) 33.33
[Reveal] Spoiler: OA

Kudos [?]: 52 [0], given: 1

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Re: A large cube is made up of smaller equally sized cubes, where each sma [#permalink]

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New post 30 Aug 2017, 17:12
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LakerFan24 wrote:
A large cube is made up of smaller equally sized cubes, where each smaller cube has sides \(\frac{1}{3}\) the length of the large cube. What approx % of the total volume is one of the small cubes?

A) 3

B) 3.7

C) 9

D) 11.11

E) 33.33


Let the large cube have sides with length 3
This means the volume of the large cube = (3)(3)(3) = 27

This means a small cube will have sides with length 1
So, the volume of the small cube = (1)(1)(1) = 1

What approx % of the total volume is one of the small cubes?
We need to convert 1/27 to a percent.
NOTICE that 1/25 = 4%
So, 1/27 to a percent will be a little bit smaller than 4%
Only one answer choice meets that condition.

Answer:
[Reveal] Spoiler:
B


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Kudos [?]: 2444 [0], given: 356

Re: A large cube is made up of smaller equally sized cubes, where each sma   [#permalink] 30 Aug 2017, 17:12
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