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Which Solid Has One Face?

Published in Solid Geometry 2 mins read

A cone is the solid that has one face.

The question "Which solid has one face?" is answered by examining different 3D shapes and identifying those possessing only a single face. A face, in geometric terms, is a flat surface on a solid. Below is an examination of solid shapes which includes a shape that fits the criteria.

Understanding Solid Shapes

Before determining the solid shape with one face, let's consider the basic components of geometric solids. These include:

  • Faces: Flat surfaces that make up the solid shape.
  • Edges: Lines where two faces meet.
  • Vertices: Points where edges meet (corners).

Identifying the Solid with One Face

According to the reference, a cone has one face, but no edges or vertices. This face is specifically a circle. Other common 3D shapes include cubes, spheres, and cylinders, which are not considered to have just one face.

Solid Shape Number of Faces
Cone 1 (circular)
Cube 6
Sphere 0 (a curved surface)
Cylinder 3 (2 circular faces and 1 curved face)

Examples

  • A typical ice cream cone is a real-world example of a cone that has only one face.
  • Party hats are also often shaped like cones.

Therefore, the shape that meets the criteria of having one face is a cone.

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