Suppose you truncate a cube such that this truncation of a vertex takes away 1/8 of the original area from each of 3 square faces and creates a new equilateral triangle. If you did this to all 8 vertices, what would the volume be? (Only use geometric formulas/reasoning for this problem.)

When you are taking away the 1/8 area of each square face, do you mean from the original cube regardless of what has been taken away, or do you mean 1/8 of the area of the remaining face?  I hope this question makes sense.

Thanks,
Jordan

Posted by Benjamin J. Ladd on 2004-03-05 15:19:12