Shortest = cube edge. Longest = diagonal across the whole cube, √3 times edge length.
There seems to be a misunderstanding in your question. "Dino student" and "lion segment" are not common terms in geometry, so it's unclear what you're referring to. However, I can still explain the lengths of segments in a cube for you.
In a cube, there are two main types of segments:
1. Edges: These are the straight lines connecting two adjacent vertices of the cube. All edges of a cube have the same length, which is equal to the side length of the cube.
2. Diagonals: These are line segments connecting non-adjacent vertices of the cube. There are two types of diagonals:
Face diagonals: These connect opposite corners of a single face of the cube. Their length is √2 times the side length of the cube.
Body diagonals: These connect opposite vertices of the entire cube, passing through the interior. They are the longest segments in a cube, with a length of √3 times the side length of the cube.
Therefore, the shortest segments in a cube are the edges, and the longest are the body diagonals.