How many vertices does a rectangular pyramid have
The Correct Answer and Explanation is:
A rectangular pyramid has 5 vertices.
Explanation:
A rectangular pyramid consists of a rectangular base and a single apex (the top vertex) above the center of the rectangle. Here’s a breakdown of how the vertices are formed:
- Base Vertices: The rectangular base has four vertices, which are the corners of the rectangle. These vertices are typically labeled as A, B, C, and D. Each of these vertices is part of the rectangular shape, so the base contributes four vertices to the overall shape.
- Apex: Above the center of the rectangle, there is a single point called the apex, which is the tip of the pyramid. This point is not shared with the base and adds one more vertex to the shape.
Thus, the total number of vertices in a rectangular pyramid is the sum of the four vertices from the base and the one apex vertex, resulting in: 4 (from the base)+1 (from the apex)=5 vertices.4 \, (\text{from the base}) + 1 \, (\text{from the apex}) = 5 \, \text{vertices}.4(from the base)+1(from the apex)=5vertices.
Visualizing the Shape:
- If you imagine looking at the pyramid from above, you would see the rectangle with its four corners.
- From a side view, you would see the apex connected to each corner of the rectangle by triangular faces. These faces share the apex as a common vertex.
Therefore, the pyramid has five distinct vertices in total, which include the four corners of the base and the single apex.
