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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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New post 06 Dec 2017, 04:23
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D
E

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

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New post 06 Dec 2017, 08:04
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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New post 06 Dec 2017, 08:50
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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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]

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New post 06 Dec 2017, 08:54
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

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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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New post 06 Dec 2017, 21:58
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

So 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] 06 Dec 2017, 21:58
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