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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.

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3mo ago

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What shape can slide and roll can stack and roll and does not have any vertices?

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.


Does a prism roll?

A prism typically does not roll due to its flat faces and angular edges, which prevent it from achieving a stable, rounded shape needed for rolling. Instead, it tends to slide or remain stationary when placed on a flat surface. The shape of the prism, defined by its polygonal bases and rectangular or parallelogram lateral faces, contributes to its stability in a resting position.


Does a cone roll and stack?

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.


Will a rectangular prism roll?

A rectangular prism will not roll in the same way that a sphere or cylinder does because it has flat faces and edges that create stable contact points with the surface. When placed on one of its faces, it will simply slide or remain stationary rather than rolling. However, if tipped onto an edge, it can pivot or rock slightly but will not roll continuously.


Can a triangular pyramid roll?

A triangular pyramid, or tetrahedron, can roll, but its movement is not smooth like that of a sphere. When it rolls, it does so by pivoting around its vertices or edges, which can make its motion somewhat erratic. The way it rolls depends on the surface it’s on and the angle of inclination, but generally, it can display rolling behavior similar to other polyhedra.