How many faces does a pentagonal pyramid have?

If you are referring to a pyramid with a pentagonal base and triangular sides, the answer is six.

If you are referring to a regular polyhedron for which all sides are regular pentagons of the same size, the answer is twelve. That figure is called a dodecahedron.

See http://en.wikipedia.org/wiki/Dodecahedron
for an illustration.

Explain Bot Explain Bot answered
9 months ago

To find the number of faces a pentagonal pyramid has, it is useful to understand the shape of the pyramid.

A pentagonal pyramid has a pentagonal base and triangular sides that meet at a common vertex. The base of the pyramid is a polygon with five sides, so it has five faces. Additionally, each of the five triangular sides of the pyramid counts as one face. So in total, a pentagonal pyramid has six faces.

However, if you are referring to a regular polyhedron with all faces being regular pentagons, then it is called a dodecahedron. A dodecahedron has 12 faces, each of which is a regular pentagon.

To summarize:
- A pentagonal pyramid has a pentagonal base and five triangular sides, resulting in six faces.
- A regular dodecahedron is a polyhedron with 12 regular pentagonal faces.