triangular pyramid with base vertices C, A, E and B, D, and F

How many planes are shown in the figure?

but we need to see the figure..

Presumably this is a truncated triangular pyramid. So, it has a lower base CAE and an upper base BDF, and three slanting faces. Sounds like 5 faces, or planes.

To determine the number of planes shown in the figure, we need to understand the properties of a triangular pyramid. A triangular pyramid consists of a triangular base connected to a single vertex called the apex. In this case, the base has vertices C, A, E, and the apex is represented by the vertex F.

Given this information, we can determine the number of planes shown in the figure. Each face of the triangular pyramid represents a plane.

In this figure, the triangular base C-A-E represents one plane. Then, we have the additional three planes formed by connecting the apex F to each of the base's vertices C, A, and E.

So, in total, there are 4 planes shown in the figure.