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Regular Hexagonal Pyramid Calculator.

Calculate regular hexagonal-pyramid areas, slant height, and volume from side and vertical height.

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01

Set your values

Results update as you type.

baseArea: 41.56921938

baseArea

0.00000000
slantHeight: 6.92820323

slantHeight

0.00000000
lateralArea: 83.13843876

lateralArea

0.00000000
surfaceArea: 124.70765814

surfaceArea

0.00000000
volume: 83.13843876

volume

0.00000000

Results update automatically as you type.

Calculate regular hexagonal-pyramid areas, slant height, and volume from side and vertical height.

Use Cases

Geometry homework and exam prep

Quickly verify your manual calculations for surface area, volume, or slant height of a regular hexagonal pyramid, and see the step-by-step formulas.

Example: Check your answer for a pyramid with base side 6 cm and vertical height 10 cm.

Architectural and design projects

Estimate the material needed for a hexagonal pyramid structure, such as a roof or decorative element, by calculating its surface area and volume.

Example: Determine the surface area for a pyramid with base side 4 m and vertical height 3 m.

Frequently Asked Questions

What is a regular hexagonal pyramid?
A regular hexagonal pyramid has a regular hexagon as its base and six congruent triangular faces meeting at an apex directly above the center of the base. The base side length and vertical height are the key dimensions.
How is the slant height calculated?
The slant height is the distance from the apex to the midpoint of a base edge. It is found using the Pythagorean theorem: square the vertical height, add the square of the apothem (the distance from the center to a side), then take the square root.
What units should I use for the base side and vertical height?
You can use any consistent unit (e.g., meters, centimeters, inches). The calculator will output area in square units and volume in cubic units based on the units you enter.

Tips & Common Mistakes

Tips

  • Ensure the base side and vertical height are in the same units before entering them.
  • The vertical height is the perpendicular distance from the base center to the apex, not the slant height.
  • Use the formula results to understand how changes in base side or height affect the total surface area and volume.
  • For a quick check, remember that the volume of any pyramid is one-third of the base area times the vertical height.

Common Mistakes to Avoid

  • Confusing vertical height with slant height – the slant height is always longer than the vertical height.
  • Using the base side length as the apothem when calculating the base area – the apothem is the distance from the center to a side, not the side length.
  • Forgetting to include the base area when calculating total surface area – the total includes the hexagonal base plus the six triangular faces.

Last updated: August 13, 2026