Problem 1.1: What must be true of a surface in order for it to be a simple closed surface? [Solution]

Problem 1.2: If a line is perpendicular to a plane, is that line perpendicular to every line in the plane? [Solution]

Problem 1.3: If a polyhedron has 6 faces, how many edges does it have? [Solution]

Problem 1.4: Is a surface two-dimensional or three-dimensional? [Solution]

Problem 1.5: Is it possible for a surface to be contained in a single curve? [Solution]