A Cube Removed From A Cube
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 ?