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Math Calculators

Square Pyramid Surface Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Total surface area

96.0000

Slant height
5.0000

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

How to use the Square Pyramid Surface Area Calculator

The Square Pyramid Surface Area Calculator works out your total surface area, along with 1 related figure in an instant. Enter base edge 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.
  2. Enter the height.
  3. Read off your total surface area, together with slant height — the calculator updates automatically, with no button to press.

Formula

The Square Pyramid Surface Area Calculator uses the formula:

Total surface area = Base edge ^ 2 + 2 × Base edge × √((Base edge ÷ 2)^(2) + Height ^ 2)

Worked example

For example, with base edge of 6 and height of 4, the total surface area is 96.0000.

Inputs used
Base edge 6
Height 4
Results
Total surface area 96.0000
Slant height 5.0000

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.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Add the square base to four triangular faces: base² + 2 × base × slant height. A base of 6 and height of 4 gives 96.

It is the square root of (half the base squared plus the height squared). For base 6 and height 4 it is 5.

Height is straight up from the centre; slant height runs up the middle of a triangular face.

Yes. The total surface area adds the square base to the four side faces.

The Square Pyramid Surface Area Calculator uses the formula: Total surface area = Base edge ^ 2 + 2 × Base edge × √((Base edge ÷ 2)^(2) + Height ^ 2). For example, with base edge of 6 and height of 4, the total surface area is 96.0000.

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

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