Problem 7
A cube C = {(x,y,z)| 0 <= x, y, z <=1 } is cut along the planes x = y, y = z, and z = x. How many pieces are there?(No pieces are moved until all three cuts are made.)
Students, email your solutions to
jwarnke@mail.unomaha.edu. Solutions are due by 11:59PM on Friday October 24th, 2008. Along with your solution, include your name, your school's name, the name of your math teacher or math club moderator, and your year in school.
Solution
