If the hole on your juice box is not where you find it should be for Question 2, explain the manufacturer's possible reasoning for the placement of the hole. Clarifying Activity Students make models of the five Platonic solids. Students prove that these are the only possible solids using regular polygons with the same number of polygons around each vertex. Students determine the number of faces, vertices, and edges each solid has and organize this information in a table. Students then create mathematical expressions to describe the number of vertices and edges each solid has and look for a pattern relating the number of faces, vertices, and edges.
Students make conjectures about inequalities that are always true for polyhedra.