A regular prism (regular prism body) is a geometric solid composed of two identical regular polygonal bases and several rectangular lateral faces. This calculator can help you quickly compute various geometric parameters of a regular prism, including volume, surface area, base area, lateral surface area, inradius, and circumradius.
1. Enter Parameters: Input the following data at the top of the calculator:
Number of Sides (n): The number of sides of the regular polygonal base (≥3; e.g., input 3 for triangle, 4 for quadrilateral).
Base Edge Length (a): The length of each side of the regular polygon (e.g., 5 cm).
Prism Height (h): The perpendicular height of the prism (e.g., 10 cm).
Unit: Select the unit for calculation results (millimeter, centimeter, decimeter, meter).
2. Click Calculate
Click the "Calculate" button, and the system will automatically compute the following results:
Calculation Result | Description |
---|---|
Volume | Total volume of the prism (base area × height) |
Base Area | Area of a single regular polygonal base |
Sum of Two Bases | Total area of both bases |
Lateral Face Area (per face) | Area of a single rectangular lateral face |
Lateral Surface Area | Total area of all rectangular lateral faces |
Total Surface Area | Total surface area of the prism (sum of two base areas + lateral surface area) |
Base Perimeter | Perimeter of the regular polygonal base |
Interior Angle (per vertex) | Measure of each interior angle of the regular polygon |
Sum of Interior Angles | Total sum of all interior angles of the regular polygon |
Exterior Angle (per vertex) | Measure of each exterior angle of the regular polygon |
Central Angle | Angle formed at the center of the regular polygon between two adjacent vertices |
Circumradius | Radius of the circumscribed circle of the regular polygon |
Inradius | Radius of the inscribed circle of the regular polygon |