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

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
If the length of an edge of cube X is twice the length of an  [#permalink]

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07 Mar 2014, 04:46
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Difficulty:

5% (low)

Question Stats:

85% (00:36) correct 15% (00:41) wrong based on 566 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

Problem Solving
Question: 139
Category: Geometry Volume
Page: 80
Difficulty: 550

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

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07 Mar 2014, 04:46
SOLUTION

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

The length of cube Y = 1;
The length of cube X = 2;

The ratio of the volume of cube Y to the volume of cube X = 1^3/2^3 = 1/8.

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Joined: 04 Jan 2014
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Re: If the length of an edge of cube X is twice the length of an  [#permalink]

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07 Mar 2014, 05:27
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1
Let Y's edge be a. Then X's edge is 2a.

Y's volume = a^3
X's volume = (2a)^3 = 8(a^3)

Ratio Y's volume to X's volume = 1/8

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Joined: 20 Dec 2013
Posts: 244
Location: India
Re: If the length of an edge of cube X is twice the length of an  [#permalink]

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07 Mar 2014, 18:28
1
Option D.
Let side of X=2
Side of Y=1
Volume of cube=(side)^3
Vol. Y=1
Vol. X=8
Ratio=1/8

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

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13 Jun 2016, 12:44
Consider side(edge) of cube Y as 1 and side(edge) of cube X as 2
Volume of cube Y = $$1^3$$ = 1
Volume of cube X = $$2^3$$ = 8
Ratio = $$\frac{1}{8}$$

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

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23 Aug 2018, 02:05
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Re: If the length of an edge of cube X is twice the length of an &nbs [#permalink] 23 Aug 2018, 02:05
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