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

✖Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid.ⓘ Ridge Length of Star Pyramid [l_e(Ridge)]			+10% -10%
✖Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.ⓘ Height of Star Pyramid [h]			+10% -10%

✖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 given Ridge Length [l_e(Pentagon)]

⎘ Copy

👎

Formula

✖

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

Formula

`"l"_{"e(Pentagon)"} = sqrt((("l"_{"e(Ridge)"}^2-"h"^2)*100)/(50+(10*sqrt(5))))`

Example

`"4.552965m"=sqrt(((("8m")^2-("7m")^2)*100)/(50+(10*sqrt(5))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
l_e(Pentagon) = sqrt(((l_e(Ridge)^2-h^2)*100)/(50+(10*sqrt(5))))
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

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.
Ridge Length of Star Pyramid - (Measured in Meter) - Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid.
Height of Star Pyramid - (Measured in Meter) - Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

STEP 1: Convert Input(s) to Base Unit

Ridge Length of Star Pyramid: 8 Meter --> 8 Meter No Conversion Required
Height of Star Pyramid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = sqrt(((l_e(Ridge)^2-h^2)*100)/(50+(10*sqrt(5)))) --> sqrt(((8^2-7^2)*100)/(50+(10*sqrt(5))))

Evaluating ... ...

l_e(Pentagon) = 4.55296498655015

STEP 3: Convert Result to Output's Unit

4.55296498655015 Meter --> No Conversion Required

FINAL ANSWER

4.55296498655015 ≈ 4.552965 Meter <-- Pentagonal Edge Length of Base of Star Pyramid

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Star Pyramid » Pentagonal Edge Length of Star Pyramid » Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 4 Pentagonal Edge Length of Star Pyramid Calculators

Pentagonal Edge Length of Base of Star Pyramid given Volume

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

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

Go Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))

Pentagonal Edge Length of Base of Star Pyramid

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

Pentagonal Edge Length of Base of Star Pyramid given Chord Length

Go Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2

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

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

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length calculator uses Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))) to calculate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid given Ridge Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the ridge length and height of the Star Pyramid. Pentagonal Edge Length of Base of Star Pyramid is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length using this online calculator? To use this online calculator for Pentagonal Edge Length of Base of Star Pyramid given Ridge Length, enter Ridge Length of Star Pyramid (l_e(Ridge)) & Height of Star Pyramid (h) and hit the calculate button. Here is how the Pentagonal Edge Length of Base of Star Pyramid given Ridge Length calculation can be explained with given input values -> 4.552965 = sqrt(((8^2-7^2)*100)/(50+(10*sqrt(5)))).

FAQ

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

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the ridge length and height of the Star Pyramid and is represented as l_e(Pentagon) = sqrt(((l_e(Ridge)^2-h^2)*100)/(50+(10*sqrt(5)))) or Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). Ridge Length of Star Pyramid is the length of the line joining any inner vertex of base of the Star Pyramid and the apex of the Star Pyramid & Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

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

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the ridge length and height of the Star Pyramid is calculated using Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5)))). To calculate Pentagonal Edge Length of Base of Star Pyramid given Ridge Length, you need Ridge Length of Star Pyramid (l_e(Ridge)) & Height of Star Pyramid (h). With our tool, you need to enter the respective value for Ridge Length of Star Pyramid & Height 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 Pentagonal Edge Length of Base of Star Pyramid?

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

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

Home

FREE PDFs

🔍 Search