How many vertices does a rectangular prism have?a)8b)6c)10d)None of th...
- A rectangular prism (also called a cuboid) is a 3D shape with 6 faces, 12 edges, and 8 vertices.
- Faces: The flat surfaces of the prism (6 in total).
- Edges: The line segments where two faces meet (12 in total).
- Vertices: The points where three edges meet (8 in total).
So, the correct answer is A) 8
How many vertices does a rectangular prism have?a)8b)6c)10d)None of th...
Understanding the Rectangular Prism
A rectangular prism, also known as a cuboid, is a three-dimensional geometric shape with six rectangular faces. It is a special type of polyhedron and has specific characteristics that define its structure.
Key Features of a Rectangular Prism
- Faces: A rectangular prism has 6 faces, all of which are rectangles.
- Edges: It has 12 edges, which are the line segments where two faces meet.
- Vertices: The key focus here is the vertices.
What are Vertices?
- Vertices are the points where edges meet.
- In a rectangular prism, these points are the corners of the shape.
Counting the Vertices
- To find the number of vertices in a rectangular prism:
- Consider that each face has 4 corners.
- However, since the prism has 6 faces, some corners are shared between multiple faces.
- Specifically, each vertex is counted where three edges meet.
Final Count of Vertices
- A rectangular prism has a total of 8 vertices.
- Visualize this by imagining a box; each corner of the box represents one vertex.
Therefore, the correct answer to how many vertices a rectangular prism has is option 'A' - 8.