Please solve this using only techniques from chapters 6.1-6.3 of calculus or only the following techniques: Areas between curves, Volumes by slicing, and volumes by cylindrical shells.

Chapter 6 Version 2 1: A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with 1 lengths a,b and ec. Use the technique in calculus to prove that the volume of the tetrahedron is gabe by 5 using either the solid with cross section, or solid with rotating a region (whichever applies). You must set up everything such as creating the region on the Cartesian coordinates