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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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Bunuel
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If the length of an edge of cube X is twice the length of an edge of [#permalink] New post   07 Mar 2014, 04:46
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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
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D
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Bunuel
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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink] New post   07 Mar 2014, 04:46
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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

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.

Answer: D.
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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink] New post   07 Mar 2014, 05:27
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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

Answer (D).
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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink] New post   07 Mar 2014, 18:28
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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 edge of [#permalink] New post   03 Jun 2023, 06:02
The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of an edge.

Let's denote the length of an edge of cube Y as 'a'. Therefore, the length of an edge of cube X is 2a.

The volume of cube Y is then V_Y = a^3.

The volume of cube X is V_X = (2a)^3 = 8a^3.

To find the ratio of the volume of cube Y to the volume of cube X, we divide the volume of cube Y by the volume of cube X:

V_Y / V_X = (a^3) / (8a^3) = 1 / 8

Therefore, the ratio of the volume of cube Y to the volume of cube X is 1/8, which corresponds to option (D).
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Re: If the length of an edge of cube X is twice the length of an edge of [#permalink]
03 Jun 2023, 06:02
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