Identify the false statement from the following.a)A cuboid has 3 pairs...
False statement: The number of vertices of a cube is 6.
Explanation:
Understanding vertices:
Vertices are the points where the edges of a shape or figure meet. They are also referred to as corners. In a 3-dimensional figure, vertices represent the meeting point of three or more edges.
Vertices of a cube:
A cube is a special type of cuboid where all the faces are squares and all the edges have equal length. To understand the number of vertices in a cube, let's first visualize it.
A cube has:
- 6 faces (all faces are squares)
- 12 edges (all edges have equal length)
- 8 vertices (corners where three edges meet)
Explanation of the false statement:
The false statement is option 'B' - "The number of vertices of a cube is 6."
The statement is false because a cube has 8 vertices, not 6. Each corner of a cube represents a vertex, and there are 8 corners in a cube. This is because each corner is formed by the meeting of three edges. If a cube had only 6 vertices, it would not be a cube but a different shape altogether.
Correcting the false statement:
To correct the false statement, we can say, "The number of vertices of a cube is 8."
Summary:
A cube has 8 vertices. Each corner of a cube represents a vertex, and there are 8 corners in a cube. It is important to understand the characteristics and properties of different geometric shapes to accurately identify their attributes.