A right regular hexagonal pyramid has a height of 12 units and a base side of 9 units. What is the volume of the pyramid to the nearest tenth of a cubic unit?
+130511 The volume of a pyramid is 1/3 of that of its associated prism
The volume of the associated prism =
b * h = [(3/2) * sqrt(3)] * s^2 * h and s = 9 and h = 12 in this case
So we have
[(3/2) * sqrt(3)] * 9^2 * 12 = about 2525.33 units^3
And 1/3 of this = about 841.8 units^3 [rounded]
