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Hexagonal Pyramid Base, Lateral and Total Surface

Hexagonal Pyramid Base, Lateral and Total Surface. Use unit controls and documented positive geometric roots to compare base, lateral and total measures.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Example in initial displayed units: Base edge (a) 2, Height (h) 4 gives Slant height (l) 4.3588989, Base perimeter (P) 12, Base surface area (BA) 10.392305, Lateral surface area (LSA) 26.153394, Total surface area (SA) 36.545699.

B = 3√3 a²/2; L = 3as; A = B+L; s² = H²+3a²/4

Worked example

Enter these known values and leave the other values blank.

Base edge (a)
2 cm
Height (h)
4 cm
Slant height (l)
4.36 cm
Base perimeter (P)
12 cm
Total surface area (SA)
36.546 cm²
Base surface area (BA)
10.392 cm²
Lateral surface area (LSA)
26.153 cm²

Assumptions and limitations

  • The base is a regular hexagon with six equal sides, and the apex lies above its center. The base apothem is a√3/2. Slant height reaches an edge midpoint, not a base vertex. Lateral area is the sum of six triangular face areas. The hidden base-shape parameter remains fixed to six sides.
  • Select compatible units and enough independent dimensions. Clear unknown values before solving backward. Numeric precision and display rounding do not quantify uncertainty in measured inputs.
  • Arithmetic uses 64 significant digits. Original reference diagrams explain the dimensions and do not follow entered proportions.

Common questions

Which length is used to find hexagonal pyramid lateral area?

Use the slant height of a triangular face. Lateral area is half the base perimeter times slant height.

References

The international acre is exactly 43560 square international feet; Bookify replaces the rounded captured area factor.

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