What is the lateral surface area of a pyramid?

It is the total area of all triangular faces, excluding the base. A rectangular pyramid generally has two different slant heights, so the calculator derives both from the vertical 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 are the slant heights found?

For a right rectangular pyramid, the faces with base a use √(h² + (b/2)²), while the faces with base b use √(h² + (a/2)²).

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

Enter base dimensions and vertical height to calculate the surface area of a right square or rectangular pyramid.

Pyramid Dimensions

Pyramid Base Type

Square Base Rectangular Base

Base Length (a)

units

Base Width (b)

units

Vertical Height (h)

units

Visual Reference

Enter dimensions and click Calculate

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Summary

Enter base dimensions and vertical height to calculate the surface area of a right 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 perpendicular height from the center of the base to the apex.
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

Last updated: 2026-09-26 · Reviewed by Nham Vu

Surface Area of a Pyramid Calculator

Use the Surface Area of a Pyramid Calculator

Pyramid Dimensions

Visual Reference

Summary

How it works

Use cases

Frequently Asked Questions