Cube Stacks and Their Views
A pile of unit cubes described by what it looks like from above, in front and from the side. Each view is a projection that keeps only the tallest cube in its line, so views constrain the pile without fixing it -- some positions are pinned down and others are still free, which is what makes counting all the possible piles a real question.
grade 6–7 Geometry Visualize Spatial RelationshipsMake a Systematic List
Progression (8)
g6 1. Height on a plan makes it a solid Geometry
g6 2. The longest side sets the cube's edge GeometryNumber system
g6 3. Spot the piece added onto a shape Geometry
g6 4. See the shape after cubes are removed Geometry
g6 5. Per-cell counts give the front and side views Geometry
g6 6. Layer and position fix how many faces show Geometry
g7 7. Start where the front and side views pin the count down Geometry
g7 8. Find the cubes removed twice over Geometry