What shapes make up a square pyramid net?
Conditions
- The solid is a square pyramid.
- The net includes the square base and all four side triangles.
Reasoning, step by step
- Start with a 3D square pyramid.
- Keep the square base fixed in the plane.
- Fold out the four triangular lateral faces around the base.
Example
A square pyramid unfolds into one central square with four attached triangles.
Common misconceptions
- Forgetting the square base and only counting the triangular sides.
- Assuming the lateral faces are squares.
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Related questions
A triangular pyramid net consists of four triangular faces. The clip also shows that the same triangular pyramid can be unfolded into more than one net layout while preserving the same face count and face types.
Conditions: The solid is a triangular pyramid.; The net contains four triangles.
A polyhedron net is a flat layout obtained by cutting along edges of a 3D solid and unfolding it so that all faces remain connected in one piece. In this clip, the example shown is a rectangular prism whose six rectangular faces become one connected planar figure.
Conditions: The object is a 3D solid (polyhedron).; The faces are laid flat.; The resulting faces form one connected complex polygon.
A dodecahedron is a polyhedron that has twelve faces, all of which are pentagons.
Conditions: Must have exactly 12 faces; All faces must be pentagons
A hexagonal prism net is composed of two hexagonal bases and six lateral faces. In the visual example, the six lateral faces appear as rectangles connecting the two hexagons in the unfolded layout.
Conditions: The solid is a hexagonal prism.; The net includes two hexagon bases and six lateral faces.
The same polyhedron can have multiple valid nets because changing how the net is oriented on the page or choosing different edges to cut does not change which solid it represents. Different unfoldings of the same rectangular prism are still nets of that same solid.
Conditions: The underlying solid remains the same.; Different cuts or fold sequences may produce different layouts.
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