How many faces, edges, vertices of cuboid, cube, cylinder, cone, sphere, hemisphere have
The Correct Answer and Explanation is:
Here is the number of faces, edges, and vertices for each solid:
| Solid | Faces | Edges | Vertices |
|---|---|---|---|
| Cuboid | 6 | 12 | 8 |
| Cube | 6 | 12 | 8 |
| Cylinder | 3 | 2 | 0 |
| Cone | 2 | 1 | 1 |
| Sphere | 1 | 0 | 0 |
| Hemisphere | 2 | 1 | 0 |
Explanation:
Cuboid:
A cuboid is a three-dimensional shape with six rectangular faces. It has 12 edges where two faces meet, and 8 vertices where three edges meet. The opposite faces are equal in size.
Cube:
A cube is a special type of cuboid where all faces are squares of the same size. Like the cuboid, it has 6 faces, 12 edges, and 8 vertices.
Cylinder:
A cylinder has two flat circular faces (top and bottom) and one curved surface. It has 3 faces in total. It has 2 edges (the circles where the curved surface meets the flat surfaces) and 0 vertices because no sharp corners exist.
Cone:
A cone has one flat circular face and one curved surface, totaling 2 faces. It has 1 curved edge and 1 vertex at the tip, called the apex.
Sphere:
A sphere has only one curved surface. It does not have any flat faces, edges, or vertices. A ball is an example of a sphere.
Hemisphere:
A hemisphere is half of a sphere. It has one flat circular face and one curved surface, making 2 faces. It has 1 circular edge where the curved part meets the flat face and no vertices.
These properties are essential in geometry for classifying shapes and understanding their structures. Recognizing the faces, edges, and vertices helps in surface area and volume calculations as well.
