Problem of the Week: 2014-11-25

Due Tuesday, November 25 at 5:00 pm

A tetrahedron is inscribed in a cube, with its vertices in common with four vertices of the cube, as shown.  What is the ratio of the surface area of the tetrahedron to the surface area of the cube?  What is the ratio of the volume of the tetrahedron to the volume of the cube?

2014.11.25

All answers should be clearly explained.  Mathematics is about logic and reasoning, not just about getting a number and putting a box around it.

Submit your answers to the Math/Stat Office, Room 107, Adel Mathematics Building. If your instructor is giving you extra credit for doing POTW, please indicate the instructor's name and the class. Please put the due date (e.g. 2014-01-21 for January 21, 2014) on your submission. Contact Jim.Swift@nau.edu with questions.

Winning solutions and a summary of scores will be posted on the POTW bulletin board. This bulletin board is located near the bottom of the big stairway joining the first and second floor of the Adel Math Building.