The formula to calculate the Volume of Pentagonal Prism is:
\[ V = \frac{\sqrt{5 \cdot (5 + 2 \cdot \sqrt{5})}}{4} \cdot l_{e(Base)}^2 \cdot h \]
Volume of Pentagonal Prism is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Prism. Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism. Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.
Let's assume the following values:
Using the formula:
\[ V = \frac{\sqrt{5 \cdot (5 + 2 \cdot \sqrt{5})}}{4} \cdot 10^2 \cdot 15 = 2580.71610088345 \]
The Volume is 2580.71610088345 Cubic Meters.
| Base Edge Length (Meters) | Volume (Cubic Meters) |
|---|---|
| 9 | 2,090.380041715594871 |
| 9.5 | 2,329.096281047313823 |
| 10 | 2,580.716100883450508 |
| 10.5 | 2,845.239501224004016 |
| 11 | 3,122.666482068974801 |