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

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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

[spoiler]OA=D[/spoiler]

Source: Official Guide
Source: — Problem Solving |

Junior | Next Rank: 30 Posts
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Area of cube = (side)^3

As side of X is twice of Y-> X=2Y

Ratio of cube Y to cube X will be
=Y^3/X^3
=Y^3/ (2Y)^3
=Y^3/ 8Y^3
=1/8
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M7MBA wrote:
Wed May 20, 2020 7:21 am
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

[spoiler]OA=D[/spoiler]

Source: Official Guide
Solution:

Let y = the edge length of cube Y. Thus, 2y = the edge length of cube X. The volume of cube Y is therefore y^3, and that of cube X is (2y)^3 = 8y^3. So the ratio of the volume of cube Y to that of cube X is x^3 / (8x^3) = 1/8.

Answer: D

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