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Square Pyramid Calculator

A Square Pyramid is a three-dimensional geometric shape which tapers to a point from a square base.

The sides, or outer surfaces are triangular and the central axis is at right angles to the base.

Calculations can be saved to a table by clicking the "Add to Table" button (the table appears the first time the button is clicked)

There is also the option to create a PDF document

Square Pyramid Shape

Square Pyramid shape Calculator: This image shows a Square Pyramid shape with associated calculations used by the Square Pyramid Shape Calculator

Dimension Value Comments
Height (h) The vertical height of the pyramid
Slope Height (s) The length of the sloped side
Edge Length (e) The length of the lateral edges
Base Side Length(a) The length of the four base sides
Lateral Surface Area (L) The surface area of the pyramid in square units excluding the base area
Base Surface Area (B) Surface area of the base in square units
Total Surface Area (A) Total of the lateral and base surface areas in square units
Volume (V) The volume of the pyramid in cubic units

You can refine the calculations by controlling the number of decimal places that the calculator calculates to. The default is 2 decimal places.

This calculator includes the following algorithms:

Slope Height (s) = √(h2 + (1/4) a2)

Surface area of base (B) = a2

Lateral surface area (L) = a √(a2 + 4h2)

Total area = L + B

Volume = (1/3)a2h

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