### Home > CCG > Chapter 10 > Lesson 10.1.4 > Problem 10-46

10-46.

Calculate the total surface area and volume of the prism at right. Assume that the base is a regular pentagon.

Find the central angle of the pentagon.

The area of the triangle will help you find the area of the pentagon.

Area of the triangle

Area of pentagon

Find the area of each of the sides, and sum them to find the surface area.

Multiply the area of the pentagon by the height to find the volume.

Volume

Surface area