# A Cube Removed From A Cube

A unit cube -
[Volume; V

_{0}=1 u^{3}, Surface; S_{0}=6 u^{2}, Edge length; E_{0}=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/V_{0}, the surface area S/S_{0}and the total edge length E/E_{0}of the remaining shape. How do V/V_{0}, S/S_{0}and E/E_{0}vary as functions of L ?## New Resources

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