A square-based pyramid
You must provide us with the shape and dimensions of the solid figure.
Apart from the fact that there is no such word as verticle, there cannot be a solid that meets the above description. According to the Euler characteristic, simply connected polyhedra must satisfy:Faces + Vertices = Edges + 2Apart from the fact that there is no such word as verticle, there cannot be a solid that meets the above description. According to the Euler characteristic, simply connected polyhedra must satisfy:Faces + Vertices = Edges + 2Apart from the fact that there is no such word as verticle, there cannot be a solid that meets the above description. According to the Euler characteristic, simply connected polyhedra must satisfy:Faces + Vertices = Edges + 2Apart from the fact that there is no such word as verticle, there cannot be a solid that meets the above description. According to the Euler characteristic, simply connected polyhedra must satisfy:Faces + Vertices = Edges + 2
All solid figures must have a face. The face need not be planar, but there must be at least one which forms the boundary between the solid and the rest of the universe.This is somewhat an issue of semantics. A sphere has no edges so some would not say the term face applies to it at all. It does have a surface and you can certainly define that as its face. The point being, it depends on how you define "faces" and it may depend on your context as well.
A Platonic solid is a regular, convex polyhedron. The same amount of edges must meet at each vertex, all the faces need to be uniform, and all the dihedral angles must be the same.
A (genus-0) polyhedron must satisfy Euler's formula: V + F - E = 2. Setting V, E, F equal to the same value, say, X, we get X + X - X = 2 X = 2. A solid with two edges, vertices and faces is called a "digonal hosohedron", but it is not usually considered a three-dimensional figure, in euclidean space.
False. A triangle is inscribed in another figure if all its vertices lie on the boundary of that figure, not in the interior. For a triangle to be inscribed, it must touch the edges of the figure, such as a circle or polygon.
A polyhedron is in a subclass of geometric solids. The difference is that a polyhedron must have flat faces and straight edges.
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It is a rhombus
Quite simply, it doesn't fulfill the requirements for a "platonic solid", which include the requirement that all bounding areas must be regular polygons. A square is a regular polygon; a rectangle is not.
A pyramid cannot have 13 edges: it must have an even number of edges.
must all edges of semiregular polyhedron be the same length