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Home > CC1 > Chapter 9 > Lesson 9.2.1 > Problem 9-37


The area of the base of the prism at right is square inches.

  1. Find the surface area of the prism if the base is a regular pentagon.

    The surface area is the sum of the areas of each individual face.

    The top and bottom face both have an area of square inches.

    There are five side faces, each with an area of
    ( inches)( inches), or square inches.

  2. Find the volume of the prism.

    Volume = (area of base)(height)

  3. If another prism has the same volume as this prism, but its base area is square inches, what is its height?

    Rearrange the equation used in part (b) to solve for height.

A regular pentagonal prism with a height of 25.2 inches. The pentagon's side is 10.3 inches.