SOLUTION: Donatello starts with a marble cube of side length 10. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length s. Fin

Question 1152809: Donatello starts with a marble cube of side length 10. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length s. Find s.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the distance from a corner of the cube to where the cut is made to slice off each pyramid. Then the length of each side of the new polyhedron is .

Each side of the original cube is then made up of two segments of length x and one of length .

The side length s of the new polyhedron is

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