A Cube Removed From A Cube'in kopyası

A unit cube - [Volume; V₀=1 u³, Surface; S₀=6 u², Edge length; E₀=12 u] - has a cube of side length L removed from one of its vertices (see left panel). Drag the YELLOW dot to vary the size of the cut out cube. The right panel shows the volume V/V₀, the surface area S/S₀ and the total edge length E/E₀ of the remaining shape. How do V/V₀, S/S₀ and E/E₀ vary as functions of L ?