Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Re: The length of each edge of a cube equals 6. What is the dis [#permalink]
15 Sep 2017, 00:43

1

This post received KUDOS

There is a shortcut for this The diagonal of Cube can be founded by the formula: Sqrt(Asqr+Bsqr+Csqr).Here A=B=C=6. So diagonal is SQRT(36+36+36)=6sqrt3 from centre, Divide by 2.ie 3sqrt3. Feel free to ask any questions.

Re: The length of each edge of a cube equals 6. What is the dis [#permalink]
18 Sep 2017, 01:04

Pushkar96 wrote:

There is a shortcut for this The diagonal of Cube can be founded by the formula: Sqrt(Asqr+Bsqr+Csqr).Here A=B=C=6. So diagonal is SQRT(36+36+36)=6sqrt3 from centre, Divide by 2.ie 3sqrt3. Feel free to ask any questions.

It is even faster to remember that the diagonal of a cube is \(l*sqrt(3)\). Three dimensions, \(sqrt(3)\); while the square, two dimensions \(sqrt(2)\)

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
_________________

Jeffery Miller Head of GRE Instruction

GRE Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions