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.
4 faces, 6 edges, 4 verticesFour faces, six edges and four vertices.
Faces: 10 Vertices: 16 Edges: 24
3 faces, 2 edges, and no vertices
A cylinder has three faces: two circular bases and one curved lateral surface. It has two vertices at the ends of the circular bases, and it has no edges on the curved surface. Therefore, in total, a cylinder has 3 faces, 2 vertices, and 0 edges.
Prism
There are two plane faces and a curved face, two edges and no vertices.
The shape you are describing is a cylinder. A cylinder has two flat circular faces (the top and bottom) and one curved surface that wraps around the sides. It has no edges or vertices where flat surfaces meet, as the curved surface is continuous.
An hemisphere is half of a globe with a circular flat base, a round edge, a curved surface but no vertices.
A cylinder has 3 faces: two circular bases and one curved surface. It has 2 vertices located at the top and bottom circular edges, and it has an infinite number of edges along the curved surface where the circular bases meet. However, if considering just the circular edges, it has 2 edges.
Yes, a sphere has zero vertices and zero faces. A vertex is a point where edges meet, and a face is a flat surface; since a sphere is a continuous curved surface without edges or flat surfaces, it does not possess either. Thus, it is classified as having no vertices and no faces.
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 cylinder has 3 faces: two circular bases and one curved surface. It has 2 edges where the bases meet the curved surface. In terms of vertices, a cylinder has 0 vertices, as there are no sharp corners.
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.
A 3D sphere has no faces, no edges, and no vertices :) Unlike polyhedrons (like cubes or pyramids), a sphere is a perfectly round solid with a continuous curved surface. It doesn’t have flat faces, straight edges, or corners (vertices). The surface area is calculated using the formula: A = 4 × π × r² So technically: Faces: 0 Edges: 0 Vertices: 0 Hope that clears it up!