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Hexagonal Pyramid Surface Area Calculator.

Calculate the surface area of a regular hexagonal pyramid from side and slant height.

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01

Set your values

Results update as you type.

baseArea: 41.56921938

baseArea

0.00000000
lateralArea: 72

lateralArea

0.00000000
surfaceArea: 113.56921938

surfaceArea

0.00000000

Results update automatically as you type.

Calculate the surface area of a regular hexagonal pyramid from side and slant height.

Use Cases

Geometry homework and exam prep

Quickly verify surface area calculations for regular hexagonal pyramid problems in math classes.

Example: Check your answer for a pyramid with base side 4 cm and slant height 10 cm.

Architectural and design projects

Estimate material needed for a hexagonal pyramid structure, such as a roof or decorative element.

Example: Calculate surface area for a tent with base side 2 m and slant height 3 m.

Frequently Asked Questions

What is the formula for the surface area of a hexagonal pyramid?
The total surface area is the sum of the base area and the lateral area. For a regular hexagon with side 'a', base area = (3√3/2) * a². Lateral area = 6 * (1/2 * a * slant height). So total = base area + lateral area.
What is the difference between slant height and height?
Slant height is the distance from the apex to the midpoint of a base edge along the triangular face. Height is the perpendicular distance from the apex to the base center. This calculator uses slant height, not height.
Can I use this calculator for a non-regular hexagonal pyramid?
No, this calculator is designed for a regular hexagonal pyramid, where all base sides are equal and all lateral faces are congruent isosceles triangles. For irregular pyramids, you need different formulas.

Tips & Common Mistakes

Tips

  • Ensure both base side and slant height are in the same units before calculating.
  • Slant height is measured along the triangular face, not the pyramid's vertical height.
  • For a regular hexagon, the base area is always (3√3/2) times the square of the side length.
  • Double-check your inputs: a small error in slant height can significantly affect the lateral area.

Common Mistakes to Avoid

  • Using the vertical height instead of the slant height.
  • Forgetting to multiply the lateral face area by 6 (since there are six triangular faces).
  • Mixing units (e.g., side in meters and slant height in centimeters) without conversion.

Last updated: August 13, 2026