Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1000+ more calculators!

Base length of Pentakis Dodecahedron given leg length Solution

STEP 0: Pre-Calculation Summary
Formula Used
base = (38*Length)/(3*(9+sqrt(5)))
b = (38*L)/(3*(9+sqrt(5)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = (38*L)/(3*(9+sqrt(5))) --> (38*3)/(3*(9+sqrt(5)))
Evaluating ... ...
b = 3.3819660112501
STEP 3: Convert Result to Output's Unit
3.3819660112501 Meter --> No Conversion Required
FINAL ANSWER
3.3819660112501 Meter <-- Base
(Calculation completed in 00.015 seconds)

6 Base length of Pentakis Dodecahedron Calculators

Base length of Pentakis Dodecahedron given surface to volume ratio
base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio*(sqrt(23+(11*sqrt(5))))) Go
Base length of Pentakis Dodecahedron given surface area
base = sqrt((19*Surface Area)/(15*(sqrt(413+(162*sqrt(5)))))) Go
Base length of Pentakis Dodecahedron given inradius
base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218))) Go
Base length of Pentakis Dodecahedron given volume
base = (((76*Volume)/(15*(23+(11*sqrt(5)))))^(1/3)) Go
Base length of Pentakis Dodecahedron given leg length
base = (38*Length)/(3*(9+sqrt(5))) Go
Base length of Pentakis Dodecahedron given midradius
base = (4*Midradius)/(3+sqrt(5)) Go

Base length of Pentakis Dodecahedron given leg length Formula

base = (38*Length)/(3*(9+sqrt(5)))
b = (38*L)/(3*(9+sqrt(5)))

What are practical examples of Pentakis Dodecahedron?

The Spaceship Earth structure at Walt Disney World's Epcot is a derivative of a pentakis dodecahedron. The model for a campus arts workshop designed by Jeffrey Lindsay was actually a hemispherical pentakis dodecahedron. The shape of the "Crystal Dome" used in the popular TV game show The Crystal Maze was based on a pentakis dodecahedron. In Doctor Atomic, the shape of the first atomic bomb detonated in New Mexico was a pentakis dodecahedron. In De Blob 2 in the Prison Zoo, domes are made up of parts of a Pentakis Dodecahedron. These Domes also appear whenever the player transforms on a dome in the Hypno Ray level.

How to Calculate Base length of Pentakis Dodecahedron given leg length?

Base length of Pentakis Dodecahedron given leg length calculator uses base = (38*Length)/(3*(9+sqrt(5))) to calculate the Base, Base length of Pentakis Dodecahedron given leg length formula is defined as a straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a) and side_b=Leg length (b). Base and is denoted by b symbol.

How to calculate Base length of Pentakis Dodecahedron given leg length using this online calculator? To use this online calculator for Base length of Pentakis Dodecahedron given leg length, enter Length (L) and hit the calculate button. Here is how the Base length of Pentakis Dodecahedron given leg length calculation can be explained with given input values -> 3.381966 = (38*3)/(3*(9+sqrt(5))).

FAQ

What is Base length of Pentakis Dodecahedron given leg length?
Base length of Pentakis Dodecahedron given leg length formula is defined as a straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a) and side_b=Leg length (b) and is represented as b = (38*L)/(3*(9+sqrt(5))) or base = (38*Length)/(3*(9+sqrt(5))). Length is the measurement or extent of something from end to end.
How to calculate Base length of Pentakis Dodecahedron given leg length?
Base length of Pentakis Dodecahedron given leg length formula is defined as a straight line joining two adjacent vertices of base of Pentakis Dodecahedron. Where, side_a = Base length (a) and side_b=Leg length (b) is calculated using base = (38*Length)/(3*(9+sqrt(5))). To calculate Base length of Pentakis Dodecahedron given leg length, you need Length (L). With our tool, you need to enter the respective value for Length 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 Base?
In this formula, Base uses Length. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • base = (38*Length)/(3*(9+sqrt(5)))
  • base = sqrt((19*Surface Area)/(15*(sqrt(413+(162*sqrt(5))))))
  • base = (((76*Volume)/(15*(23+(11*sqrt(5)))))^(1/3))
  • base = (4*Midradius)/(3+sqrt(5))
  • base = (2*Inradius)/(3*(sqrt((81+(35*sqrt(5)))/218)))
  • base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio*(sqrt(23+(11*sqrt(5)))))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!