cylinder
cylinders: slide on the small sides, roll on the round one
The square based pyramid does not stack or roll.
Cube
a sphere
cylinder
A pyramid will not roll and you cannot stack objects on top.
cylinders: slide on the small sides, roll on the round one
Solid shapes that can slide and roll include cylinders, spheres, and cones. Cylinders can roll along their curved surface, while spheres can roll in any direction due to their uniform curvature. Cones can roll on their circular base, although their movement is limited to a specific direction. In contrast, cubic shapes can slide but do not roll effectively due to their flat surfaces.
The square based pyramid does not stack or roll.
A cone can roll due to its circular base, allowing it to move smoothly across a flat surface. However, it does not stack well like other shapes, such as a cylinder or cube, because its pointed apex and sloped sides create an unstable structure when placed on top of another cone. As a result, while a cone can roll, it is not ideal for stacking.
no
The shape that can slide and roll, stack and roll, and has no vertices is a cylinder. Cylinders have curved surfaces that allow them to roll smoothly, and they can stack on top of each other without any sharp edges. Their continuous surface and circular bases provide stability when stacked.
A cylinder
No
yes
Cube
A triangular-based prism will typically stack rather than roll. The flat surfaces of the triangular bases allow it to be securely placed on a flat surface, while the edges of the triangle prevent it from rolling easily. Rolling is more associated with shapes like cylinders or spheres, which have a continuous curved surface. Therefore, stacking is the more stable option for a triangular prism.