» Volume of a Regular Prism


Regular prism volume calculator: calculate the volume of a right prism with a regular polygon base from the number of sides, side length, apothem, or circumradius and prism height, with reverse solving for a missing value.

Use this regular prism volume calculator to quickly find the volume of a regular prism from the number of sides, the side length, the apothem, or the circumradius, together with the prism height. It is useful for geometry, schoolwork, and conversions between cubic units.

You can calculate volume in different input modes, convert units instantly, and also use reverse calculation when you need to find a missing parameter or the height from a known volume.


Volume of a regular prism formulas

$$V= \frac{n a^2 h}{4\tan(\pi/n)}$$







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Volume of a Regular Prism FAQ

How do you calculate the volume of a regular prism?
First calculate the area of the regular polygon base, then multiply that base area by the prism height. The calculator does both steps automatically from the selected input mode.

Which base measurements can I use?
You can enter the number of sides together with the side length, the apothem, or the circumradius, depending on the mode you choose.

Does this calculator work only for right prisms?
This page is designed for a regular prism with a regular polygon base and perpendicular prism height, which is the standard right-prism case.

Can I convert regular prism volume into other units?
Yes. The result can be shown in different cubic units, which is useful for both metric and imperial volume conversions.

Can I solve for a missing dimension or prism height?
Yes. Reverse calculation can help you find a missing base measure or the prism height when the volume is already known.


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