Calculators

Hexagonal Prism Calculator

Calculate regular hexagonal prism volume, base area, lateral and total surface area, apothem, and base widths privately in your browser.

Enter a regular hexagonal base side and perpendicular prism height. This assumes a right prism with six equal base sides and six equal base angles. Use one consistent length unit, from 1e-50 to 1e50.

Measure a right prism with a regular hexagonal base.

A right regular hexagonal prism has two identical regular hexagonal bases and six rectangular side faces. Enter base side a and perpendicular height h using the same length unit. One base area B = 3√3 a²/2; base perimeter P = 6a; volume V = Bh; lateral area = Ph; total surface area = 2B + Ph. The base apothem is √3 a/2, width across opposite flats is √3 a, and width across opposite corners is 2a. For a = 2 and h = 5, one base area is 6√3 ≈ 10.3923048454 square units, volume is 30√3 ≈ 51.9615242271 cubic units, and total surface area is 60 + 12√3 ≈ 80.7846096908 square units. These formulas require a regular hexagon and a right prism; they do not describe irregular bases or oblique prisms. Enter positive lengths from 1e-50 to 1e50; scientific notation is accepted. Results use browser floating-point arithmetic rounded to 12 significant digits. All calculations stay in your browser.

Frequently Asked Questions

Everything you need to know about this tool, how it works, and privacy.

How do I calculate hexagonal prism volume?

For a regular hexagonal base side a and perpendicular height h, volume = (3√3/2)a²h. Side 2 and height 5 give 30√3, approximately 51.9615242271 cubic units.

Does total surface area include both bases?

Yes. Total area = 2B + 6ah, where B = 3√3 a²/2 is one base area. Lateral area includes only the six rectangular side faces.

What is the difference between widths across flats and corners?

Across flats measures the distance between opposite parallel sides: √3 a. Across corners measures the distance between opposite vertices: 2a. Enter a side length rather than either width.

Which shapes and inputs are supported?

Use a right prism with a regular hexagonal base. Enter positive side length and height from 1e-50 to 1e50 in one consistent unit. Scientific notation is accepted. Results are rounded to 12 significant digits. Calculations stay in your browser.