Utilize our user-friendly Regular Pentagonal Prism Surface Area Calculator to instantly find the total surface area of any prism with a regular pentagonal base. Simply input the side length of the pentagon and the prism's height to obtain precise measurements. This tool is perfect for geometry homework, design specifications, and quick estimations in various fields.
Formula:
The total surface area (SA) of a regular pentagonal prism is calculated using the following formula:
SA = 2 × Base Area + Lateral Area
Where:
- Base Area (Abase) = (5 × s2) / (4 × tan(π/5))
- Lateral Area (Alateral) = 5 × s × h
Therefore, the complete formula is:
SA = 2 × ( (5 × s2) / (4 × tan(π/5)) ) + (5 × s × h)
Where:
- s = Side length of the regular pentagonal base
- h = Height of the prism
- π = Pi (approximately 3.14159)
- tan = Tangent function