<PRE><B>Question 159331</B>
volume of a pyramid is {{{(B*h)/3}}} where B is the area of the base and h is the altitude.
the base is an equilateral triangle.
--------------------------------------------------
area of an equilateral triangle is {{{(s^2*sqrt(3))/4}}} where s is one of the equal sides of the triangle.
--------------------------------------------------
triangle:
s = 4.6 meters (given)
area = {{{((4.6)^2*sqrt(3))/4}}} = 9.162548772
--------------------------------------------------
pyramid:
B = 9.162548772
h = 7 meters (given)
volume = {{{(9.162548772*7)/3}}} = 21.37928047
--------------------------------------------------
cubic meters of air space contained in the steeple is 21.

</PRE>