Which 3D shape has only one corner (vertex)?a)Cubeb)Spherec)Coned)Cyli...
A cone has one corner, called the vertex, where the curved surface and base meet.
Which 3D shape has only one corner (vertex)?a)Cubeb)Spherec)Coned)Cyli...
Understanding 3D Shapes
When we explore 3D shapes, we often describe them based on their attributes, such as edges, faces, and vertices (corners). In this case, we are looking for a shape that has only one vertex.
Identifying the Options
- Cube: A cube has 8 vertices, 12 edges, and 6 faces. It is a solid box shape and does not fit our criteria.
- Sphere: A sphere is perfectly round and has no vertices, edges, or faces. It is smooth all around, thus not fitting the requirement either.
- Cone: A cone has one circular base and tapers to a single point at the top, which is its vertex. This uniquely identifies the cone as having exactly one corner.
- Cylinder: A cylinder has two circular bases and no vertices; it only has edges but no corners.
Conclusion
Considering the attributes of each shape, the only 3D shape that possesses just one vertex is the cone.
- Vertex of the Cone: The vertex is the pointed tip where the sides meet, while the base is flat and circular.
- Visual Representation: Imagining a party hat can help visualize a cone, which clearly shows the single vertex at the top.
Thus, the correct answer is option 'C', the cone, as it uniquely meets the criteria of having only one corner.
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