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])
le(Base) = lc/([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
le(Base) = lc/([phi]) --> 10/([phi])
Evaluating ... ...
le(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 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

3 Edge Length of Base of Star Pyramid Calculators

Edge Length of Base of Star Pyramid given Volume
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
Go Edge Length of Base of Star Pyramid = Pentagonal Edge Length of Base of Star Pyramid*([phi])
Edge Length of Base of Star Pyramid
Go Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi])

Edge Length of Base of Star Pyramid Formula

Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/([phi])
le(Base) = lc/([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 le(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 (lc) 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 le(Base) = lc/([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 (lc). 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]
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!