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Math Calculators

Square Pyramid Volume Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
units
Verified formula Private

Volume

120.0000

Slant height
10.4403
Total surface area
161.2837

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Square Pyramid Volume Calculator

The Square Pyramid Volume Calculator works out your volume, along with 2 related figures in an instant. Enter base edge length and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the base edge length.
  2. Enter the height.
  3. Read off your volume, together with slant height and total surface area — the calculator updates automatically, with no button to press.

Formula

The Square Pyramid Volume Calculator uses the formula:

Volume = 1 ÷ 3 × Base edge length ^ 2 × Height

Worked example

For example, with base edge length of 6 units and height of 10 units, the volume is 120.0000.

Inputs used
Base edge length 6 units
Height 10 units
Results
Volume 120.0000
Slant height 10.4403
Total surface area 161.2837

Results are estimates for educational use, not professional advice.

Key terms explained

Surface area
The total area of all the outer faces of a three-dimensional object.
Volume
The amount of three-dimensional space an object occupies, measured in cubic units.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Use V = 1⁄3 × base edge² × height. A pyramid with a 6-unit base and 10-unit height has a volume of 120 cubic units.

The slant height runs from the base edge midpoint to the apex along a face. It equals √(height² + (base ÷ 2)²).

Add the square base to the four triangular faces: base² + 2 × base × slant height.

Three identical pyramids fill a prism of the same base and height, so the pyramid's volume is one third of base area times height.

Enter the base edge length. Enter the height. Read off your volume, together with slant height and total surface area — the calculator updates automatically, with no button to press.

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