Question

How many faces, edges, and vertices are there in the following figures?
$\left( a \right){\text{ Cylinder}}$
$\left( b \right){\text{ Sphere}}$

Answer 1

Hint: This type of problem can be solved by seeing the figure and knowing the terms which we have to find. So for the vertices, there should be a corner and for the edge, there should be a straight line and for the face, there should be surfaces. By using all this now we are able to answer this question.

Complete step-by-step answer:
$\left( a \right){\text{ Cylinder}}$

Here from the figure, we can see that there are two straight lines and three surfaces can be seen and also there should be a corner for the vertex. Therefore, in a cylinder, there will be three faces and two edges, and zero vertices.
$\left( b \right){\text{ Sphere}}$

Here from the figure, we can see that there is no straight line and one surface can be seen and also there should be a corner for the vertex. Therefore, in a sphere, there will be one face and zero edges, and zero vertices.
Additional information:
A vertex in a mathematical figure can be characterized as a corner. A point where at least two line fragments meet is known as a vertex. A line portion between faces is known as an edge. A solitary level surface is known as a face. For instance, a tetrahedron has $4$ vertices and a pentagon has $5$ vertices. Vertices are the plural form of the vertex.

Note: So we have seen that if we know the shapes and figures then very easily we can answer this type of question. We just have to know the meaning of each type and their properties then we can easily tell the number of faces, vertices, or edges.