Insphere Radius of Rhombic Dodecahedron Calculator

✖Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.ⓘ Edge Length of Rhombic Dodecahedron [l_e]

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✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron [r_i]

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Insphere Radius of Rhombic Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron
r_i = sqrt(6)/3*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

Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.
Edge Length of Rhombic Dodecahedron - (Measured in Meter) - Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(6)/3*l_e --> sqrt(6)/3*10

Evaluating ... ...

r_i = 8.16496580927726

STEP 3: Convert Result to Output's Unit

8.16496580927726 Meter --> No Conversion Required

FINAL ANSWER

8.16496580927726 ≈ 8.164966 Meter <-- Insphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Insphere Radius of Rhombic Dodecahedron Calculators

Insphere Radius of Rhombic Dodecahedron given Total Surface Area

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))

Insphere Radius of Rhombic Dodecahedron given Volume

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron Formula

LaTeX Go

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron
r_i = sqrt(6)/3*l_e

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Insphere Radius of Rhombic Dodecahedron?

Insphere Radius of Rhombic Dodecahedron calculator uses Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron to calculate the Insphere Radius of Rhombic Dodecahedron, Insphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere. Insphere Radius of Rhombic Dodecahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Rhombic Dodecahedron using this online calculator? To use this online calculator for Insphere Radius of Rhombic Dodecahedron, enter Edge Length of Rhombic Dodecahedron (l_e) and hit the calculate button. Here is how the Insphere Radius of Rhombic Dodecahedron calculation can be explained with given input values -> 8.164966 = sqrt(6)/3*10.

FAQ

What is Insphere Radius of Rhombic Dodecahedron?

Insphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere and is represented as r_i = sqrt(6)/3*l_e or Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron. Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.

How to calculate Insphere Radius of Rhombic Dodecahedron?

Insphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere is calculated using Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron. To calculate Insphere Radius of Rhombic Dodecahedron, you need Edge Length of Rhombic Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Rhombic 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 Insphere Radius of Rhombic Dodecahedron?

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

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))
Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

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