Square Pyramid Volume Calculator

Online square pyramid volume calculator. Supports entering base side length and height, with 3D square pyramid visualization and surface area calculation.

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

Return to old version

Set the known values, units, and precision, then click Calculate.

Use sample data to fill parameters quickly. Results update volume, surface area, slant height, lateral edge, and weight estimate.

Parameter Settings

Select Known Values

Base edge a

Side length of the square base. Use the same unit for all lengths. Vertical height h

Perpendicular distance from the base center to the apex. Result Unit Area is still shown in square units of the input length. Calculation Precision Controls decimal places in results and formula steps. Material density Rough estimate for engineering or material usage.

Auto calculate Show formula steps

Sample data Click to edit manually

Results and diagram

Volume, area, and geometry

Drag to rotate, scroll to zoom

Rectangular pyramid volume -

Vertical height -

Base area -

Lateral area -

Surface area -

Slant height -

Lateral edge length -

Base diagonal -

Weight estimate -

Calculation steps Base Edge + Height

Instructions

Software Usage Instructions

Select known values: Choose “base edge + height,” “base edge + slant height,” “base edge + lateral edge,” or “base edge + volume” to calculate based on the data you have.
Enter parameters: Enter the base edge length and the corresponding parameter, and select a length unit such as mm, cm, m, in, ft, or yd. All length parameters must use the same unit.
Set result options: Select the result unit and calculation precision, and enable material density to estimate weight if needed.
Use sample data: Click “Geometry Homework,” “Building Sketch,” “Packaging Capacity,” or “Reverse Height” to quickly fill in sample parameters, then modify them as needed.
View calculation results: After clicking “Calculate Results,” you can view the volume, base area, lateral area, surface area, slant height, lateral edge, base diagonal, and estimated weight.
View formula steps: After checking “Show Formula Steps,” the derivation process for the base area, volume, lateral area, surface area, and lateral edge will be displayed.
Save and export: Click “Save Settings” to keep the current parameters; click the copy or download button to copy the results or generate a calculation report.

FAQ

A: The volume formula for a regular square pyramid is V = a² × h / 3, where a is the square base edge length and h is the vertical height from the center of the base to the apex.

A: The slant height is the distance from the apex to the midpoint of a base edge and is used to calculate the lateral area; the lateral edge is the distance from the apex to a base vertex and is often used to check structural edge lengths.

A: Select the “base edge + volume” mode, then enter the base edge length and target volume. The tool will automatically calculate the vertical height using h = 3V / a².

A: Yes. Surface area = base area + lateral area; the base area is a², and the lateral area is the sum of the areas of the four triangular side faces.

A: The slant height must be greater than half the base side length, and the lateral edge must be greater than half the base diagonal; otherwise, a valid regular square pyramid cannot be formed.

A: Weight estimates are suitable for material quantity planning, model making, and engineering sketch calculations. The result is obtained by converting the volume to cubic meters and multiplying it by the material density. Actual weight may also be affected by hollow structures, waste, and material variations.