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# What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes

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Math Expert
Joined: 02 Sep 2009
Posts: 55231
What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes  [#permalink]

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17 Sep 2018, 01:44
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Difficulty:

35% (medium)

Question Stats:

60% (01:21) correct 40% (01:21) wrong based on 20 sessions

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What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes that can be cut from six solid cubes that are 1 foot on each side? (12 inches = 1 foot)

(A) 8
(B) 64
(C) 216
(D) 1,296
(E) 1,728

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Re: What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes  [#permalink]

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17 Sep 2018, 01:54
Bunuel wrote:
What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes that can be cut from six solid cubes that are 1 foot on each side? (12 inches = 1 foot)

(A) 8
(B) 64
(C) 216
(D) 1,296
(E) 1,728

The volume of one of the six solid cubes is 12*12*12 inches.

We have 6 such cubes and need to cut 2*2*2 inch cubes from this.

Therefore, the maximum number of cubes that can be cut is $$\frac{6*12*12*12}{2*2*2} = 6*6*6*6$$ = 1296(Option D)
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Re: What is the maximum number of 2-inch by 2-inch by 2-inch solid cubes   [#permalink] 17 Sep 2018, 01:54
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