The base of a prism has $$ n $$ sides. a. How many lateral faces does it have? b. How many faces does it have? a. The prism has $$ \square $$ lateral faces. (Type an expression using n as the variable.)

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To solve the problem regarding the prism with $$ n $$ sides, let's break it down step by step.

### a. How many lateral faces does it have?

A prism is defined as a solid object with two parallel bases that are congruent polygons. The lateral faces of a prism are the faces that connect the corresponding sides of the two bases.

For a prism with a base that has $$ n $$ sides:
- Each side of the base corresponds to one lateral face.
- Therefore, the number of lateral faces is equal to the number of sides of the base.

Thus, the expression for the number of lateral faces is:
$$
\text{Lateral Faces} = n
$$

### b. How many faces does it have?

The total number of faces of a prism is the sum of the lateral faces and the two bases. Since we have already established that there are $$ n $$ lateral faces and 2 bases, we can express the total number of faces as follows:
$$
\text{Total Faces} = \text{Lateral Faces} + \text{Bases} = n + 2
$$

### Summary of Answers:
- a. The prism has $$ n $$ lateral faces.
- b. The prism has $$ n + 2 $$ faces.
a. The prism has $$ n $$ lateral faces. b. The prism has $$ n + 2 $$ faces.

The base of a prism has \( n \) sides. a. How many lateral faces does it have? b. How many faces does it have? a. The prism has \( \square \) lateral faces. (Type an expression using n as the variable.)

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