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

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Senior Manager
Joined: 26 Dec 2015
Posts: 275

Kudos [?]: 67 [0], given: 1

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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30 Aug 2017, 14:22
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Difficulty:

45% (medium)

Question Stats:

54% (01:59) correct 46% (00:57) wrong based on 48 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 [?]: 67 [0], given: 1

SVP
Joined: 11 Sep 2015
Posts: 1999

Kudos [?]: 2873 [0], given: 364

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

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30 Aug 2017, 16:12
Expert's post
Top Contributor
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.

[Reveal] Spoiler:
B

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Kudos [?]: 2873 [0], given: 364

Re: A large cube is made up of smaller equally sized cubes, where each sma   [#permalink] 30 Aug 2017, 16:12
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# A large cube is made up of smaller equally sized cubes, where each sma

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