Edge Length of Base of Star Pyramid Calculator

✖Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.ⓘ Chord Length of Star Pyramid [l_c]

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✖Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.ⓘ Edge Length of Base of Star Pyramid [l_e(Base)]

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Edge Length of Base of Star Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi])
l_e(Base) = l_c/([phi])
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Edge Length of Base of Star Pyramid - (Measured in Meter) - Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.
Chord Length of Star Pyramid - (Measured in Meter) - Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

STEP 1: Convert Input(s) to Base Unit

Chord Length of Star Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Base) = l_c/([phi]) --> 10/([phi])

Evaluating ... ...

l_e(Base) = 6.18033988749895

STEP 3: Convert Result to Output's Unit

6.18033988749895 Meter --> No Conversion Required

FINAL ANSWER

6.18033988749895 ≈ 6.18034 Meter <-- Edge Length of Base of Star Pyramid

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Base of Star Pyramid Calculators

Edge Length of Base of Star Pyramid given Volume

LaTeX Go Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]

Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base

LaTeX Go Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi])

Edge Length of Base of Star Pyramid

LaTeX Go Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi])

Edge Length of Base of Star Pyramid Formula

LaTeX Go

Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi])
l_e(Base) = l_c/([phi])

What is a Star Pyramid?

A Star Pyramid is based on a regular pentagram and is concave. It is a pyramid with a pentagrammic base. It has 11 faces which include a pentagram base surface and 10 triangular surfaces. Also, It has 20 edges and 6 vertices.

How to Calculate Edge Length of Base of Star Pyramid?

Edge Length of Base of Star Pyramid calculator uses Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]) to calculate the Edge Length of Base of Star Pyramid, Edge Length of Base of Star Pyramid formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid. Edge Length of Base of Star Pyramid is denoted by l_e(Base) symbol.

How to calculate Edge Length of Base of Star Pyramid using this online calculator? To use this online calculator for Edge Length of Base of Star Pyramid, enter Chord Length of Star Pyramid (l_c) and hit the calculate button. Here is how the Edge Length of Base of Star Pyramid calculation can be explained with given input values -> 6.18034 = 10/([phi]).

FAQ

What is Edge Length of Base of Star Pyramid?

Edge Length of Base of Star Pyramid formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid and is represented as l_e(Base) = l_c/([phi]) or Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]). Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

How to calculate Edge Length of Base of Star Pyramid?

Edge Length of Base of Star Pyramid formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid is calculated using Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi]). To calculate Edge Length of Base of Star Pyramid, you need Chord Length of Star Pyramid (l_c). With our tool, you need to enter the respective value for Chord Length of Star 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 Star Pyramid?

In this formula, Edge Length of Base of Star Pyramid uses Chord Length of Star Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi])
Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]

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