Edge Length of Base of Right Square Pyramid given Slant Height Calculator

Calculate Edge Length of Base of Right Square Pyramid





Formula

The formula to calculate the Edge Length of the Base of a Right Square Pyramid given its Slant Height is:

\[ l_e = 2 \sqrt{h_{\text{slant}}^2 - h^2} \]

Definition

The Edge Length of the Base of a Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid. The Slant Height of a Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face. The Height of a Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.

Example Calculation

Let's assume the following values:

Using the formula:

\[ l_e = 2 \sqrt{16^2 - 15^2} = 11.13552872566 \text{ Meter} \]

The Edge Length of the Base of the Right Square Pyramid is 11.13552872566 Meter.

Conversion Chart

Slant Height (Meter) Height (Meter) Edge Length (Meter)
15 15 0.000000000000000
15.1 15 3.469870314579489
15.2 15 4.915282290977800
15.3 15 6.029925372672526
15.4 15 6.974238309665068
15.5 15 7.810249675906640
15.6 15 8.569714114251404
15.7 15 9.271461589199390
15.8 15 9.927738916792665
15.9 15 10.547037498748146
16 15 11.135528725660023
16.1 15 11.697863052711794
16.2 15 12.237646832622683
16.3 15 12.757742747053650
16.4 15 13.260467563400635
16.5 15 13.747727084867536
16.6 15 14.221111067704966
16.7 15 14.681961721786392
16.8 15 15.131424255502221
16.9 15 15.570484899321574