Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height Calculator

✖Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.ⓘ Pyramidal Height of Small Stellated Dodecahedron [h_Pyramid]

+10%

-10%

✖Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.ⓘ Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height [l_c(Pentagram)]

⎘ Copy

👎

Formula

✖

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height

Formula

`"l"_{"c(Pentagram)"} = (2+sqrt(5))*((5*"h"_{"Pyramid"})/(sqrt(25+10*sqrt(5))))`

Example

`"43.08757m"=(2+sqrt(5))*((5*"14m")/(sqrt(25+10*sqrt(5))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))
l_c(Pentagram) = (2+sqrt(5))*((5*h_Pyramid)/(sqrt(25+10*sqrt(5))))
This formula uses 1 Functions, 2 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

Pentagram Chord of Small Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.
Pyramidal Height of Small Stellated Dodecahedron - (Measured in Meter) - Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Height of Small Stellated Dodecahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c(Pentagram) = (2+sqrt(5))*((5*h_Pyramid)/(sqrt(25+10*sqrt(5)))) --> (2+sqrt(5))*((5*14)/(sqrt(25+10*sqrt(5))))

Evaluating ... ...

l_c(Pentagram) = 43.0875695204535

STEP 3: Convert Result to Output's Unit

43.0875695204535 Meter --> No Conversion Required

FINAL ANSWER

43.0875695204535 ≈ 43.08757 Meter <-- Pentagram Chord of Small Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Small Stellated Dodecahedron » Pentagram Chord of Small Stellated Dodecahedron » Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height

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!

< 7 Pentagram Chord of Small Stellated Dodecahedron Calculators

Pentagram Chord of Small Stellated Dodecahedron given Surface to Volume Ratio

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))

Pentagram Chord of Small Stellated Dodecahedron given Total Surface Area

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*sqrt(5+2*sqrt(5)))))

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))

Pentagram Chord of Small Stellated Dodecahedron given Circumradius

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Pentagram Chord of Small Stellated Dodecahedron given Volume

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))

Pentagram Chord of Small Stellated Dodecahedron given Ridge Length

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))

Pentagram Chord of Small Stellated Dodecahedron

Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height Formula

What is Small Stellated Dodecahedron?

The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

How to Calculate Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height calculator uses Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))) to calculate the Pentagram Chord of Small Stellated Dodecahedron, Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its pyramidal height. Pentagram Chord of Small Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height using this online calculator? To use this online calculator for Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height, enter Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid) and hit the calculate button. Here is how the Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height calculation can be explained with given input values -> 43.08757 = (2+sqrt(5))*((5*14)/(sqrt(25+10*sqrt(5)))).

FAQ

What is Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its pyramidal height and is represented as l_c(Pentagram) = (2+sqrt(5))*((5*h_Pyramid)/(sqrt(25+10*sqrt(5)))) or Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))). Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its pyramidal height is calculated using Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))). To calculate Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height, you need Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid). With our tool, you need to enter the respective value for Pyramidal Height of Small Stellated Dodecahedron 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 Pentagram Chord of Small Stellated Dodecahedron?

In this formula, Pentagram Chord of Small Stellated Dodecahedron uses Pyramidal Height of Small Stellated Dodecahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*sqrt(5+2*sqrt(5)))))
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3))
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron))

Home

FREE PDFs

🔍 Search