CPM Homework Banner

Home > GC > Chapter 10 > Lesson 10.1.4 > Problem 10-41

10-41.

Pentagonal prism, with front edge of pentagon labeled, 6 feet, and height labeled, 12 feet.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.

A triangle, with bottom side labeled, 6, and dashed line segment, labeled, h, from top vertex, perpendicular to the base, creating 2 right triangles. In the right triangle, on the right, the top angle is labeled, 36 degrees.

,


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.