Height of Equilateral Square Pyramid Calculator

Calculate Height of Equilateral Square Pyramid



Formula

The formula to calculate the Height of an Equilateral Square Pyramid is:

\[ h = \frac{le}{\sqrt{2}} \]

Definition

The Height of an Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the pyramid. The Edge Length of an Equilateral Square Pyramid is the length of the straight line connecting any two adjacent points of the pyramid.

Example Calculation

Let's assume the following value:

Using the formula:

\[ h = \frac{10}{\sqrt{2}} = 7.07106781186547 \]

The Height of the Equilateral Square Pyramid is 7.07106781186547 meters.

Conversion Chart

Edge Length (meters) Height (meters)
9 6.363961030678928
9.5 6.717514421272201
10 7.071067811865475
10.5 7.424621202458749
11 7.778174593052023