Question

Find the surface area of a regular pentagonal prism with side length 8, altitude 20, and apothem approximately 5.5.
please explain answer if you don't mind thank you!

Answer 1

Area of all 5 FACES = (Height • Width • Number of Sides)

(Height • Width • Number of Sides) = 20 * 8 * 5 = 800 = Area of all 5 FACES

Area of the 2 BASES = number of sides * side length * apothem

Area of the 2 BASES = 5 * 8 * 5.5 = 220

TOTAL Area = 800 + 220

TOTAL Area = 1,020

Sources

1728.com/volprism.htm

1728.com/polygon.htm