Question 1142817

Assuming diagonal AB is for one side of the cube,


Diameter of the empty circle is half of AB
Diameter is {{{(AB)/2}}}

r, radius of circular opening
{{{r=(AB)/4}}}




Looking at one side having diagonal AB,
side length.... {{{cross(sqrt(2)(AB)/2)}}}

..
..


Outer surface area of the cube:
Simplify this.

{{{6((AB)/2)^2-pi((AB)/4)}}}