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Finding line segment length between two fartherst corners of a cube.

  1. Dec 28, 2011 #1
    1. The problem statement, all variables and given/known data

    The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)?

    2. Relevant equations

    Pythagorean theorem

    3. The attempt at a solution

    I have no idea how to determine the length of the line segment between the two farthest corners of a cube. I've never confronted a problem of this sort.

    Once I learn how to determine that line segment, I'll be able to solve the rest of the problem using Pythagorean Theorem.
  2. jcsd
  3. Dec 28, 2011 #2


    Staff: Mentor

    Find the length of a diagonal on the base. That diagonal will be the base of a triangle whose hypotenuse is the length you want.
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