Math / CALCULATOR

Regular Hexagonal Pyramid

Regular Hexagonal Pyramid: explicit measurements, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

units
Enter hexagon base side in units.
units
Enter perpendicular height in units.

Formula

apothem=√3 a/2; base area=3√3 a²/2; slant=√(h²+apothem²); V=base area × h/3; lateral area=3a × slant.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Apex lies directly above the center of a regular hexagon.

Example Calculation

Example inputs
  • Hexagon base side: 2 units
  • Perpendicular height: 3 units

Side 2 and height 3 give base area and volume both numerically 6√3; total area is 18√3.

Frequently asked questions

How do I use this calculator?

Enter hexagon base side, perpendicular height. The result updates automatically. Use Reset to restore the example values.

What method does it use?

apothem=√3 a/2; base area=3√3 a²/2; slant=√(h²+apothem²); V=base area × h/3; lateral area=3a × slant.. Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Apex lies directly above the center of a regular hexagon.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.