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A drawing shows sodium and chloride ions positioned at the corners of a cube that is part of the crystal structure of sodium chloride. The edge of the cube is 0.281nm in length. Find the distance between the sodium ion located at one corner of the cube and the chloride ion located on the diagonal at the opposite corner.

2. Homework Equations

I'm thinking pythagorean theorem and one or more of the trig functions perhaps?

3. The Attempt at a Solution

Well...I figured the diameter if the cube is drawn inside a circle is 2(0.281)=0.562nm.

Not sure what to do this...it's difficult for me to conceptualize.

(The answer in the book is 0.487nm)