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Polyhedrons are three-dimensional geometric shapes composed of flat polygonal faces, straight edges, and vertices. Each face of a polyhedron is a polygon, and the edges are the line segments where two faces meet. Common characteristics include having a definite volume and surface area, as well as being classified into regular (all faces are congruent) and irregular forms. Notable examples include cubes, tetrahedrons, and octahedrons.
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Why are three dimensional figures with a curved surface not polyhedrons?
Three-dimensional figures with a curved surface are not considered polyhedrons because polyhedrons are defined as solids with flat polygonal faces, straight edges, and vertices. Curved surfaces lack these flat faces and straight edges, which are essential characteristics of polyhedrons. Examples of shapes with curved surfaces include spheres and cylinders, which do not fit the definition of a polyhedron. Thus, the presence of curved surfaces distinguishes these figures from polyhedra.
All polyhedrons are prisms or pyramids.?
No. Polyhedrons are any shape with multiple sides. A triangle and a prism are just two different kinds of polyhedrons.
Is an empty box a polyhedron. Do polyhedrons have to be solid?
Yes, an empty box is and No, polyhedrons don't have to be.
Do polyhedrons have right angles?
not all
Which of the following are not polyhedrons?
Cone, cylinder.
Are prisims polyhedrons or not polyhedrons?
A prism is a polyhedron.
Why are three dimensional figures with a curved surface not polyhedrons?
Three-dimensional figures with a curved surface are not considered polyhedrons because polyhedrons are defined as solids with flat polygonal faces, straight edges, and vertices. Curved surfaces lack these flat faces and straight edges, which are essential characteristics of polyhedrons. Examples of shapes with curved surfaces include spheres and cylinders, which do not fit the definition of a polyhedron. Thus, the presence of curved surfaces distinguishes these figures from polyhedra.
All polyhedrons are prisms or pyramids.?
No. Polyhedrons are any shape with multiple sides. A triangle and a prism are just two different kinds of polyhedrons.
Is an empty box a polyhedron. Do polyhedrons have to be solid?
Yes, an empty box is and No, polyhedrons don't have to be.
Cylinders and cones are just polyhedrons with circular bases?
False. Cylinders and cones are not just polyhedrons with circular bases.
Why aren't cylinder cones and spheres polyhedrons?
polyhedrons need flat face and edges, corners which cylinder cones don't have.
Are polyhedrons symmetrical?
not all, but some
Do polyhedrons have right angles?
not all
What shapes are the lunar craters?
Polyhedrons
Which of the following are not polyhedrons?
Cone, cylinder.
Why aren't cylinders cones and spheres polyhedrons geometry?
polyhedrons need flat face and edges, corners which cylinder cones don't have.
What are all the four sided polyhedrons?
tetrahedrons
