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What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides of the base of a prism is less than the number of lateral faces. The number of sides of the base of a prism and the number of lateral faces is equal. The number of sides of the base of a prism is greater than the number of lateral faces. There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.

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Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

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The number of sides of the base of a prism and the number of lateral faces is equal.

What is a prism?

A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.

How do we solve the given question?

In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.

We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.

We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.

∴ The number of sides of the base = The number of lateral faces of the prism

or, s = f.

∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.

Learn more about prisms at

https://brainly.com/question/1297098

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