Answer:
3572 m^3
Step-by-step explanation:
volume of prism = Ah
where A = area of the base, and
h = height of the prism
The base is a regular hexagon. We are given the side length, 8.1 m, and the apothem, 7 m.
A = nsa/2,
where n = number of sides,
s = length of one side
a = apothem
volume = Ah
volume = nsa/2 * h
volume = 6(8.1 m)(7 m)/2 * 21 m
volume = 3572.1 m^3
Answer: 3572 m^3
