To Calculate the Volume of a Drilled Cube

Using classical Newtonian integration

by N. O. Williams


Problem Definition:

For a solid cube of side length, L, drill three mutually perpendicular holes of diameter D, through the centre of the cube and normal to the cube faces.

Calculate the remaining solid volume of the drilled cube.


Solution (including BASIC listing for numerical integration):

DrilledCube.pdf (PDF download, 365 KB)