Dodecahedral Edge Length of Truncated Dodecahedron Calculator

✖Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.ⓘ Edge Length of Truncated Dodecahedron [l_e]

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✖Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.ⓘ Dodecahedral Edge Length of Truncated Dodecahedron [l_{e(Dodecahedron)}]

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Dodecahedral Edge Length of Truncated Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron
l_{e(Dodecahedron)} = sqrt(5)*l_e
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

Dodecahedral Edge Length of Truncated Dodecahedron - (Measured in Meter) - Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.
Edge Length of Truncated Dodecahedron - (Measured in Meter) - Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Truncated Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Dodecahedron)} = sqrt(5)*l_e --> sqrt(5)*10

Evaluating ... ...

l_{e(Dodecahedron)} = 22.3606797749979

STEP 3: Convert Result to Output's Unit

22.3606797749979 Meter --> No Conversion Required

FINAL ANSWER

22.3606797749979 ≈ 22.36068 Meter <-- Dodecahedral Edge Length of Truncated Dodecahedron

(Calculation completed in 00.004 seconds)

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< Dodecahedral Edge Length of Truncated Dodecahedron Calculators

Dodecahedral Edge Length of Truncated Dodecahedron given Total Surface Area

LaTeX Go Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))

Dodecahedral Edge Length of Truncated Dodecahedron given Circumsphere Radius

LaTeX Go Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5))))

Dodecahedral Edge Length of Truncated Dodecahedron given Volume

LaTeX Go Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)

Dodecahedral Edge Length of Truncated Dodecahedron

LaTeX Go Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron Formula

LaTeX Go

Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron
l_{e(Dodecahedron)} = sqrt(5)*l_e

What is a Truncated Dodecahedron?

In geometry, the Truncated Dodecahedron is an Archimedean solid. It has a total of 32 faces - 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. Each vertex is identical in such a way that two decagonal faces and one triangular face join at each vertex. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles. The Truncated Dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal.

How to Calculate Dodecahedral Edge Length of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron calculator uses Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron to calculate the Dodecahedral Edge Length of Truncated Dodecahedron, Dodecahedral Edge Length of Truncated Dodecahedron formula is defined as the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron. Dodecahedral Edge Length of Truncated Dodecahedron is denoted by l_{e(Dodecahedron)} symbol.

How to calculate Dodecahedral Edge Length of Truncated Dodecahedron using this online calculator? To use this online calculator for Dodecahedral Edge Length of Truncated Dodecahedron, enter Edge Length of Truncated Dodecahedron (l_e) and hit the calculate button. Here is how the Dodecahedral Edge Length of Truncated Dodecahedron calculation can be explained with given input values -> 22.36068 = sqrt(5)*10.

FAQ

What is Dodecahedral Edge Length of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron formula is defined as the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron and is represented as l_{e(Dodecahedron)} = sqrt(5)*l_e or Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron. Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

How to calculate Dodecahedral Edge Length of Truncated Dodecahedron?

Dodecahedral Edge Length of Truncated Dodecahedron formula is defined as the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron is calculated using Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*Edge Length of Truncated Dodecahedron. To calculate Dodecahedral Edge Length of Truncated Dodecahedron, you need Edge Length of Truncated Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Truncated 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 Dodecahedral Edge Length of Truncated Dodecahedron?

In this formula, Dodecahedral Edge Length of Truncated Dodecahedron uses Edge Length of Truncated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(Total Surface Area of Truncated Dodecahedron/(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))
Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)
Dodecahedral Edge Length of Truncated Dodecahedron = sqrt(5)*(4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5))))

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