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

✖Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.ⓘ Pentagonal Edge Length of Base of Star Pyramid [l_e(Pentagon)]

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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 given Pentagonal Edge Length of Base [l_e(Base)]

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

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi])
l_e(Base) = l_e(Pentagon)*([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.
Pentagonal Edge Length of Base of Star Pyramid - (Measured in Meter) - Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Base of Star Pyramid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Base) = l_e(Pentagon)*([phi]) --> 4*([phi])

Evaluating ... ...

l_e(Base) = 6.47213595499958

STEP 3: Convert Result to Output's Unit

6.47213595499958 Meter --> No Conversion Required

FINAL ANSWER

6.47213595499958 ≈ 6.472136 Meter <-- Edge Length of Base of Star Pyramid

(Calculation completed in 00.006 seconds)

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Walchand College of Engineering (WCE), Sangli

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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 given Pentagonal Edge Length of Base Formula

LaTeX Go

Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi])
l_e(Base) = l_e(Pentagon)*([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 given Pentagonal Edge Length of Base?

Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base calculator uses Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi]) to calculate the Edge Length of Base of Star Pyramid, Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid and is calculated using the pentagonal edge length of 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 given Pentagonal Edge Length of Base using this online calculator? To use this online calculator for Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base, enter Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) and hit the calculate button. Here is how the Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base calculation can be explained with given input values -> 6.472136 = 4*([phi]).

FAQ

What is Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base?

Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid and is calculated using the pentagonal edge length of base of the Star Pyramid and is represented as l_e(Base) = l_e(Pentagon)*([phi]) or Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi]). Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.

How to calculate Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base?

Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid and is calculated using the pentagonal edge length of base of the Star Pyramid is calculated using Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi]). To calculate Edge Length of Base of Star Pyramid given Pentagonal Edge Length of Base, you need Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)). With our tool, you need to enter the respective value for Pentagonal Edge Length of Base 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 Pentagonal Edge Length of Base 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 = Chord Length 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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