Edge Length of Base of Square Pyramid given Lateral Edge Length Calculator

✖Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.ⓘ Lateral Edge Length of Square Pyramid [l_e(Lateral)]			+10% -10%
✖Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.ⓘ Height of Square Pyramid [h]			+10% -10%

✖Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.ⓘ Edge Length of Base of Square Pyramid given Lateral Edge Length [l_e(Base)]

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Edge Length of Base of Square Pyramid given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))
l_e(Base) = sqrt(2*(l_e(Lateral)^2-h^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Base of Square Pyramid - (Measured in Meter) - Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.
Lateral Edge Length of Square Pyramid - (Measured in Meter) - Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.
Height of Square Pyramid - (Measured in Meter) - Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Lateral Edge Length of Square Pyramid: 17 Meter --> 17 Meter No Conversion Required
Height of Square Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Base) = sqrt(2*(l_e(Lateral)^2-h^2)) --> sqrt(2*(17^2-15^2))

Evaluating ... ...

l_e(Base) = 11.3137084989848

STEP 3: Convert Result to Output's Unit

11.3137084989848 Meter --> No Conversion Required

FINAL ANSWER

11.3137084989848 ≈ 11.31371 Meter <-- Edge Length of Base of Square Pyramid

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Square Pyramid Calculators

Lateral Edge Length of Square Pyramid given Slant Height

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Lateral Edge Length

LaTeX Go Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Slant Height

LaTeX Go Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)

< Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid

LaTeX Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Slant Height of Square Pyramid

LaTeX Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)

Base Area of Square Pyramid

LaTeX Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Edge Length of Base of Square Pyramid given Lateral Edge Length Formula

LaTeX Go

Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))
l_e(Base) = sqrt(2*(l_e(Lateral)^2-h^2))

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces, and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Edge Length of Base of Square Pyramid given Lateral Edge Length?

Edge Length of Base of Square Pyramid given Lateral Edge Length calculator uses Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)) to calculate the Edge Length of Base of Square Pyramid, Edge Length of Base of Square Pyramid given Lateral Edge Length formula is defined the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid. Edge Length of Base of Square Pyramid is denoted by l_e(Base) symbol.

How to calculate Edge Length of Base of Square Pyramid given Lateral Edge Length using this online calculator? To use this online calculator for Edge Length of Base of Square Pyramid given Lateral Edge Length, enter Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) and hit the calculate button. Here is how the Edge Length of Base of Square Pyramid given Lateral Edge Length calculation can be explained with given input values -> 11.31371 = sqrt(2*(17^2-15^2)).

FAQ

What is Edge Length of Base of Square Pyramid given Lateral Edge Length?

Edge Length of Base of Square Pyramid given Lateral Edge Length formula is defined the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid and is represented as l_e(Base) = sqrt(2*(l_e(Lateral)^2-h^2)) or Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid & Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

How to calculate Edge Length of Base of Square Pyramid given Lateral Edge Length?

Edge Length of Base of Square Pyramid given Lateral Edge Length formula is defined the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid is calculated using Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). To calculate Edge Length of Base of Square Pyramid given Lateral Edge Length, you need Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h). With our tool, you need to enter the respective value for Lateral Edge Length of Square Pyramid & Height of Square Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Base of Square Pyramid?

In this formula, Edge Length of Base of Square Pyramid uses Lateral Edge Length of Square Pyramid & Height of Square Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)
Edge Length of Base of Square Pyramid = sqrt((3*Volume of Square Pyramid)/Height of Square Pyramid)
Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)

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