5 Pyramids in 1 Cube

Geometry Level 4

An artist is slicing an ice cube along the 3 diagonals joining 3 vertices, producing a piece of triangular ice pyramid as shown.

The artist then continues this process 3 more times on other diagonals, thereby creating 3 more pyramids, and finishes his artwork with a perfect tetrahedron in the end.

What is the fraction in volume of this tetrahedron compared to the original ice cube?

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