Answer:
5610.6
Explanation:
Volume of a polygonal pyramid = area of polygon × height of prism
Finding the area of the polygon:
Area of a regular polygon = # of sides × side length × apothem × 1/2
Given:
Plugging these values into the formula we get
6 × 12 × 10.39 × 1/2
==> multiply 6 by 12
72 × 10.39 × 1/2
==> multiply 72 by 10.39
748.08 × 1/2
==> divide 748.08 by 2
Area of polygon = 374.04
Finding volume of polygonal prism
Again we have volume = area of base × height of prism
Here we have area of prism = 374.04 and height = 15
So volume = 374.04 × 15 = 5610.6