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Square Pyramid Slant Height Calculator — result sheet
Calculate the slant height and lateral area of a regular square pyramid.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Slant height=√(h²+(s/2)²); lateral area=2s×slant height.
A right triangle from the apex to the midpoint of a base side gives the slant height used by the four triangular faces.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Square base side — minimum 1.0E-6; maximum 1000000000000
- Vertical height — minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Square base side | 10 |
| Vertical height | 12 |
Slant height =13; lateral area =260.
Assumptions and limits
- The pyramid is regular, square-based, and upright.
- Base side and vertical height are positive and use one unit system.
- Thickness, openings, and irregular faces are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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