How to use the regular polygon prism volume calculator
Find the base area and volume of a prism whose base is a regular polygon. Enter number of base sides, base side length, prism height in the fields above; the base area, volume are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “hexagonal prism volume”, “regular polygon prism”, “prism with polygon base”, “calculate regular polygon prism volume”, “find base area”.
Formula
Variables
- n — Number of base sides
- s — Base side length (cm)
- h — Prism height (cm)
Worked example
With number of base sides = 6, base side length = 4 cm, prism height = 10 cm, the calculator gives base area ≈ 41.56922 cm²; volume ≈ 415.6922 cm³.
Frequently asked questions
What is the regular polygon prism volume calculator used for?
Find the base area and volume of a prism whose base is a regular polygon. It helps with questions such as “hexagonal prism volume”, “regular polygon prism”, “prism with polygon base”.
What is the formula for the regular polygon prism volume calculation?
Base area (cm²) = n × s × s / (4 × tan(π / n)). Volume (cm³) = [Base area] × h. Here n is number of base sides, s is base side length (cm), h is prism height (cm).
What inputs do I need for the regular polygon prism volume calculator?
You need number of base sides, base side length in cm, prism height in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the regular polygon prism volume calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the regular polygon prism volume result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.