### Home > INT2 > Chapter 11 > Lesson 11.1.2 > Problem11-22

11-22.

West High School has a math building in the shape of a regular polygon. When Mrs. Woods measures an interior angle of the polygon (which is inside her classroom), she gets $135°$.

1. How many sides does the math building have? Show how you got your answer.

$(n - 2)(180°) = 135°n$

$180°n - 360° = 135°n$
$360° = 45°n$

$n = 8$

1. Mrs. Wood’s ceiling is $10.0$ feet high and the length of one side of the building is $25.0$ feet. What is the volume of West High School’s math building?

Volume = (area of base $x$ height)