What is the lateral surface area of a pyramid?

The lateral surface area is the total area of all triangular faces, excluding the base. For a square pyramid it equals 2 × base × slant height; for a rectangular pyramid it equals (base length + base width) × slant height.

What is the total surface area of a pyramid?

The total surface area includes the base plus all triangular faces. Add the base area (length × width) to the lateral surface area.

What is slant height?

Slant height is the distance from the midpoint of a base edge to the apex along the outer face of the pyramid — not to be confused with the actual height of the pyramid measured vertically.

How do I find slant height if I only know the height?

Use the Pythagorean theorem: slant height = √(height² + (base/2)²) for a square pyramid, or √(height² + (half-side)²) for each pair of faces on a rectangular pyramid.

Does this work for non-square bases?

Yes. Select "Rectangular Base" and enter separate length and width values. The tool will calculate the correct lateral area accounting for both pairs of triangular faces.

Surface Area of a Pyramid Calculator

Name: Surface Area of a Pyramid Calculator
Availability: InStock
Author: Nham Vu

Enter base dimensions and slant height to instantly calculate the total and lateral surface area of a square or rectangular pyramid.

Pyramid Dimensions

Pyramid Base Type

Square Base Rectangular Base

Base Length (a)

units

Base Width (b)

units

Slant Height (l)

units

Visual Reference

Enter dimensions and click Calculate

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Summary

Enter base dimensions and slant height to instantly calculate the total and lateral surface area of a square or rectangular pyramid.

How it works

Select pyramid type: square base or rectangular base.
Enter the base length (and width for rectangular pyramids).
Enter the slant height of the triangular faces.
The calculator applies the geometric formula and shows the lateral and total surface area.
Copy results or adjust inputs to explore different dimensions.

Use cases

Homework and exam preparation for geometry students.
Estimating material needed to build a pyramid-shaped structure.
Architectural and engineering surface calculations.
Teaching aid for visualizing 3D geometry formulas.
Checking manual calculations for accuracy.
Comparing surface areas of pyramids with different proportions.

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu