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What is the greatest number of solid cubes with 0.2 meter edges that

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Math Expert
Joined: 02 Sep 2009
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What is the greatest number of solid cubes with 0.2 meter edges that [#permalink]

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30 Nov 2017, 23:59
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What is the greatest number of solid cubes with 0.2 meter edges that can be packed in a box whose inside dimensions are 1 meter by 1 meter by 2 meters?

(A) 10
(B) 25
(C) 50
(D) 125
(E) 250
[Reveal] Spoiler: OA

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Re: What is the greatest number of solid cubes with 0.2 meter edges that [#permalink]

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01 Dec 2017, 00:17
E.

The dimension of the smaller cube is 0.2.

Along the side of length 1m we can place 5 cubes.
These 5 cubes can be placed along the side of length 1m 5 times. Hence 5*5=25 cubes in one row.
These 25 cubes can be placed 2/0.2 times along the height. Hence total number is cubes are 25*10=250

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Re: What is the greatest number of solid cubes with 0.2 meter edges that [#permalink]

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01 Dec 2017, 10:21
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KUDOS
Bunuel wrote:
What is the greatest number of solid cubes with 0.2 meter edges that can be packed in a box whose inside dimensions are 1 meter by 1 meter by 2 meters?

(A) 10
(B) 25
(C) 50
(D) 125
(E) 250

1/0.2 = 5 & 2/0.2 = 10
Dimensions are 1 * 1 * 2
number of cubes will be = 5 * 5 * 10 = 250
E
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Joined: 22 May 2016
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What is the greatest number of solid cubes with 0.2 meter edges that [#permalink]

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02 Dec 2017, 10:53
Bunuel wrote:
What is the greatest number of solid cubes with 0.2 meter edges that can be packed in a box whose inside dimensions are 1 meter by 1 meter by 2 meters?

(A) 10
(B) 25
(C) 50
(D) 125
(E) 250

Box's total volume / one cube's volume = number of cubes

Box's total volume: 1 * 1 * 2 = 2 $$m^3$$

Each cube's volume: .2 * .2 * .2 = .008 $$m^3$$

$$\frac{2}{.008}=\frac{2,000}{8}=250$$ cubes

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What is the greatest number of solid cubes with 0.2 meter edges that   [#permalink] 02 Dec 2017, 10:53
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