a solid with surfaces (faces) that are polygons is a(n)
help me plsssss
polyhedron
or, in n dimensions, a polytope ...
A solid with surfaces (faces) that are polygons is called a polyhedron.
A solid with surfaces or faces that are polygons is called a polyhedron. To determine whether a solid is a polyhedron, you can follow this explanation:
1. Start by examining the faces of the solid. If all the faces are polygons (such as triangles, rectangles, pentagons, etc.), then it meets the first condition of being a polyhedron.
2. Next, make sure that each face is a flat, two-dimensional shape. This means that the sides or edges of each face must not curve or bend.
3. Check that each face is connected to other faces by edges. The edges should form a closed, continuous loop, with each vertex or corner meeting exactly two edges.
4. Finally, ensure that the solid has a finite number of faces, edges, and vertices. In other words, it should not extend indefinitely or have infinite subdivisions.
If the solid satisfies all these conditions, it can be classified as a polyhedron.