A prism has 10 faces.How many faces does a pyramid with the same base have?
To determine the number of faces a pyramid with the same base has, we need to understand the basic structure of a pyramid. A pyramid has a polygonal base and triangular lateral faces that converge at a single point called the apex.
In this case, since the prism has 10 faces, we know that the base of the prism is a polygon with 10 sides. To find the number of faces on a pyramid with the same base, we need to consider the base and the lateral faces.
The base of both the prism and pyramid is the same, so we have 1 face in common. Additionally, a pyramid with an n-sided base will have n triangular lateral faces.
Therefore, the total number of faces on a pyramid with the same base as the given prism is 1 (the base) + 10 (lateral faces) = 11 faces.
a pyramid is just a prism with the top face collapsed to a point.
So, it has one face fewer.