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# If the length of an edge of cube X is twice the length of an edge of

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If the length of an edge of cube X is twice the length of an edge of [#permalink]

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06 Dec 2017, 03:23
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If the length of an edge of cube X is twice the length of an edge of cube Y, what is the ratio of the volume of cube Y to the volume of cube X?

(A) 1/2
(B) 1/4
(C) 1/6
(D) 1/8
(E) 1/27
[Reveal] Spoiler: OA

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Kudos [?]: 139513 [0], given: 12794

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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]

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06 Dec 2017, 07:04
length of edge of cube x = 2a
length of edge of cube y = a

Ratio of volume y / volume x = {(length of edge of cube y)/(length of edge of cube x)}^3 = 1/8 . Hence answer is D.
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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]

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06 Dec 2017, 07:50
Bunuel wrote:
If the length of an edge of cube X is twice the length of an edge of cube Y, what is the ratio of the volume of cube Y to the volume of cube X?

(A) 1/2
(B) 1/4
(C) 1/6
(D) 1/8
(E) 1/27

Let Length of edge of cube Y be 1, so edge of cube X is 2
Volume of Cube Y = 1 & Volume of Cube X = 8

So,ratio of the volume of cube Y to the volume of cube X is $$\frac{1}{8}$$, thus answer will be (D)

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Kudos [?]: 1176 [0], given: 327

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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]

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06 Dec 2017, 07:54
Bunuel wrote:
If the length of an edge of cube X is twice the length of an edge of cube Y, what is the ratio of the volume of cube Y to the volume of cube X?

(A) 1/2
(B) 1/4
(C) 1/6
(D) 1/8
(E) 1/27

Let Length of edge of cube Y be 1, so edge of cube X is 2
Volume of Cube Y = 1 & Volume of Cube X = 8

So,ratio of the volume of cube Y to the volume of cube X is $$\frac{1}{8}$$, thus answer will be (D)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1176 [0], given: 327

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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]

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06 Dec 2017, 20:58
Let the edge of Cube Y = p
so as per the question the edge of Cube X = 2p

as we know the edge of cube Y is p so its volume is = p^3
similarly as we know the edge of cube X is 2p so its volume is = (2p)^3 = 8p^3

so what is asked in the question is the ratio of Volume of cube Y to Volume of cube X that is = (p^3/8p^3) ---> 1/8

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Re: If the length of an edge of cube X is twice the length of an edge of   [#permalink] 06 Dec 2017, 20:58
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