Final answer:
The question involves drawing prisms with dashed lines for hidden edges and counting the number of cubes in a stack and the number of glued faces. Students need to use spatial reasoning to visualize and complete these tasks accurately.
Step-by-step explanation:
The question presented involves completing drawings for prisms on dot paper and determining the number of cubes in a stack as well as counting the faces that are glued together. To complete the drawing of the prisms with hidden edges, students should use dashed segments to indicate edges that are not directly visible because they are obstructed by other faces of the prism.
For counting the number of cubes in a stack and the number of glued faces, students must visualize the 3D structure and consider how many faces of each cube are in contact with another cube, which indicates that they are glued together.
For example, if we imagine a stack of two cubes directly on top of each other, there would be a total of 2 cubes, and they would share one face that is glued together - the one where they touch each other.
If a third cube is added adjacent to these two, the total number of cubes becomes 3, and there are now three faces glued together: the shared face between the first two cubes plus the two new faces where the third cube touches each of the original two cubes.