Rectangular Prisms and Cubes

Box shapes are organized by the number of faces, edges and vertices and by which edges share a length. Perpendicular and parallel relationships between edges, between faces, and between edges and faces are examined, nets are used to match up Overlapping Edges and Overlapping Vertices, and positions on a plane and in space are described.

Many answers treat edge relationships as a choice between parallel and perpendicular, overlooking edges that neither meet nor run parallel. On a net, overlapping edges get chosen by how close they look, giving pairings that do not match once the box is folded. With Position in Space, the third number goes unwritten.

Counting edges and faces, and putting the relationship between edge and edge, or face and face, into words, is finished off here. Joining faces together into a solid is exactly the foundation Shapes of Boxes in grade 2 laid down. Deepened on rectangular prisms and cubes, this way of looking becomes the starting point for grade 5, when Prisms and Cylinders takes up other solids.