Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Hexecontahedron [r_m]

+10%

-10%

✖Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Short Edge of Deltoidal Hexecontahedron given Midsphere Radius [l_e(Short)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
l_e(Short) = 3/22*(7-sqrt(5))*(20*r_m)/(3*(5+(3*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

Short Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
Midsphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Hexecontahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Short) = 3/22*(7-sqrt(5))*(20*r_m)/(3*(5+(3*sqrt(5)))) --> 3/22*(7-sqrt(5))*(20*18)/(3*(5+(3*sqrt(5))))

Evaluating ... ...

l_e(Short) = 6.65817333954098

STEP 3: Convert Result to Output's Unit

6.65817333954098 Meter --> No Conversion Required

FINAL ANSWER

6.65817333954098 ≈ 6.658173 Meter <-- Short Edge of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Hexecontahedron » Edges of Deltoidal Hexecontahedron » Short Edge of Deltoidal Hexecontahedron » Short Edge of Deltoidal Hexecontahedron given Midsphere Radius

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!

< Short Edge of Deltoidal Hexecontahedron Calculators

Short Edge of Deltoidal Hexecontahedron given Total Surface Area

LaTeX Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))

Short Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/sqrt((470+(156*sqrt(5)))/5)

Short Edge of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Short Edge of Deltoidal Hexecontahedron

LaTeX Go Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius Formula

LaTeX Go

Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
l_e(Short) = 3/22*(7-sqrt(5))*(20*r_m)/(3*(5+(3*sqrt(5))))

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius calculator uses Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))) to calculate the Short Edge of Deltoidal Hexecontahedron, Short Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron. Short Edge of Deltoidal Hexecontahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius using this online calculator? To use this online calculator for Short Edge of Deltoidal Hexecontahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Hexecontahedron (r_m) and hit the calculate button. Here is how the Short Edge of Deltoidal Hexecontahedron given Midsphere Radius calculation can be explained with given input values -> 6.658173 = 3/22*(7-sqrt(5))*(20*18)/(3*(5+(3*sqrt(5)))).

FAQ

What is Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron and is represented as l_e(Short) = 3/22*(7-sqrt(5))*(20*r_m)/(3*(5+(3*sqrt(5)))) or Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

How to calculate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius?

Short Edge of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the length of the shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron is calculated using Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))). To calculate Short Edge of Deltoidal Hexecontahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Hexecontahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Deltoidal Hexecontahedron 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 Short Edge of Deltoidal Hexecontahedron?

In this formula, Short Edge of Deltoidal Hexecontahedron uses Midsphere Radius of Deltoidal Hexecontahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Long Edge of Deltoidal Hexecontahedron
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Short Edge of Deltoidal Hexecontahedron = 3/22*(7-sqrt(5))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/sqrt((470+(156*sqrt(5)))/5)

Home

FREE PDFs

🔍 Search