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

10-41.

Find the central angle of the pentagon.

Area of the triangle = (0.5)(4.1291)(6) ≈ 12.39 ft²

Area of pentagon = (5)(12.39) ≈ 61.9 ft²

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

(12)(6)(5) = 360

360 + 2(61.9) ≈ 483.8 ft²

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

(61.9)(12) ≈ 743.3 ft³

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

Volume ≈ 743.3 ft³

Surface area ≈ 483.3 ft²