sphere
An hemisphere is half of a globe with a circular flat base, a round edge, a curved surface but no vertices.
Euler's definition do not apply to curved solids. faces must be polygons; they cannot be circles. using the conventional definitions of faces, edges and vertices, This question causes frustration for teachers and students. Euler's definitions of edges, faces and vertices only apply to polyhedra. Faces must be polygons, meaning comprised of all straight sides, edges must be straight, and vertices must arise from the meeting of straight edges. As such, a cylinder has no faces, no edges and no vertices, using the definitions as they apply to polyhedra. You need to create a different set of definitions and understandings to apply to solids with curved surfaces.
Faces = 4 Vertices = 4 Edges = 6
4 faces, 6 edges, 4 verticesFour faces, six edges and four vertices.
6 faces, 12 edges and 8 vertices.
Prism
There are two plane faces and a curved face, two edges and no vertices.
An hemisphere is half of a globe with a circular flat base, a round edge, a curved surface but no vertices.
3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.3 faces: two plane and one curved,2 edgesno vertices.
The cube have: -- six (6) faces -- twelve (12) edges -- zero (0) curved surfaces -- eight (8) vertices
Faces-2 (1 flat face and 1 curved face), 1 curved edge, and 1 vertex.
A torus has one surface, no edges, no vertices.
A face, of a solid object, is a flat surface. If it is curved it is called a curved surface though sometimes it is also referred to as a face. Two faces meet at an edge, which is a line which may be straight or curved. Three or more faces meet at a point which is a vertex.
A hemisphere as two faces (one curved and one plane), one edge and no vertices.
A hemisphere as two faces (one curved and one plane), one edge and no vertices.
A sphere has no edges or edges but its face is globular.
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