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Re: The length of each edge of a cube equals 6. What is the dis [#permalink]
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Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project



The length of each edge of a cube equals 6. What is the distance between the center of the cube to one of its vertices?

A. \(3 \sqrt{2}\)

B. \(6 \sqrt{2}\)

C. \(3 \sqrt{3}\)

D. \(4 \sqrt{3}\)

E. \(6 \sqrt{3}\)


The distance between the center of the cube to one of its vertices is half the length of the space diagonal of the cube. A space diagonal of a cube is the diagonal from one vertex of the cube to another vertex where the two vertices are not on the same face of the cube. Furthermore, if each edge of a cube has length s, then the space diagonal has a length of s√3.

We see that the space diagonal of the cube is 6√3, so half of that is 3√3.

Answer: C
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Re: The length of each edge of a cube equals 6. What is the dis [#permalink]
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Re: The length of each edge of a cube equals 6. What is the dis [#permalink]
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