Circle
A spitial figure with a circular bases no edges and one vertex
Surface of a sphere
A sphere would fit the given description.
A __________ is a space figure in which all faces are polygons.
In 2 dimensional space, a vertex is formed when two lines meet at an angle. In 3D space, a vertex is a point where three or more faces meet.A sphere is not an arced line but is one curved surface. It has no vertex.
There are many possible answers. Some are: A sphere or ellipsoid intersected by two planes; A toroid (doughnut) with a wedge cut out; A cylinder; A frustum of a cone.
The surface area of a space figure is the total area of all the faces of the figure
The "downward" on the "curved surface" is a 3D model to explain and visualize the effect.
The sum of the areas of the faces or curved surface of a three-dimensional object is known as its surface area. It represents the total area that the surface of the object occupies in space. For different shapes, the formula to calculate surface area varies; for instance, the surface area of a cube is found by adding the areas of its six square faces, while the surface area of a cylinder involves both its curved surface and the areas of its circular bases. Surface area is an important concept in various fields, including engineering, architecture, and biology.
A smooth curved surface is commonly referred to as a "manifold." In mathematics, particularly in differential geometry, a manifold can be understood as a topological space that locally resembles Euclidean space and can have various dimensions. If it is specifically two-dimensional, it might also be described as a "smooth surface." Examples include spheres, tori, and other curved shapes.
rectangle
A space figure is a figure or shape in 3-dimensional space. It could be solid but it need not be: for example, it could be a wriggly line drawn on the surface of a sphere.
cylinder
It is a cylinder.
1. Plane Figures- A flat, closed figure that is in a plane- A plane figure can be made of straight lines, curved lines, or both straight and curved lines.2. Solid Figures- The figures which occupy space are called solids.- Solids are three dimensional figures i.e., they have length, breadth & height.- There are two important facts related to solids-a. Every solid has a surface area. Some solids have plane surfaces, others have curved surfaces.b. Every solid has a 'bulk' & its bulk occupies some space.3. Surface area-It is the sum of areas of all visible (exposed) surfaces of a solid.4. Volume-It is the three dimensional space occupied by a solid, liquid or gas.5. Lateral surface area - is the sum of the surface areas of all its faces excluding the base.6. Total surface area - is the sum of the surface areas of all its faces including the base.
Cylinder
cone