Answer:
Step-by-step explanation:
Remark
The base of the figure is a pentagon
The area of the base of a pentagon is
A=(1/4) * √[5(5+2√5)] * s2
The Formula for the Volume of a "pyramid" of this nature is
Volume = Base * h / 3
Givens
h = 10 feet
s = 8 feet
Base = formula in the remark section
Solution.
Find the base first.
A=(1/4) * √[5(5+2√ 5)] * s2 Find the value of 5 + 2√5
Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign
Area = 0.25√47.36 * s^2 Take the square root of 47.36. use s = 8
Area = 0.25 * 6.88 * 8^2 Combine.
Area = 110.11
Now find the volume
V = B * h/3
V = 110.11 * 10 / 3
V = 367.04 cubic feet.
