Pyramid Surface Area Calculator
Find square pyramid surface area from base side and slant height
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Pyramid Surface Area Formula
A = s² + 2sl
A square pyramid surface area adds the square base and four triangular side faces. The compact formula uses base side and slant height.
⚠ This calculator is for square pyramids. Slant height must be greater than half the base side.
How Pyramid Surface Area Works
Each triangular face has area one half times base side times slant height. Four faces combine to 2sl, then the square base adds s².
Base Side
s is the side of the square base.
Slant Height
l runs along a triangular face.
Lateral Area
Four triangles combine to 2sl.
Volume Check
The tool estimates vertical height and volume.
💡 Example: For s=8 and l=7, A=64+2(8)(7)=176 square units.
Applications of Pyramid Surface Area
Architecture
Models
Roofing
Geometry Homework
Frequently Asked Questions
What is a pyramid surface area calculator?▼
It calculates the total outside area of a square pyramid from base side and slant height.
What is the square pyramid surface area formula?▼
The formula is A = s² + 2sl, where s is base side and l is slant height.
How do I use this calculator?▼
Enter the base side and slant height, then click Calculate.
Is slant height the same as vertical height?▼
No. Slant height runs along a triangular face, while vertical height goes from apex to base center.
Where is pyramid surface area used?▼
It is used in architecture, models, roofing, packaging, and geometry problems.
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