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Edge length of Rhombic Dodecahedron given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (3*Inradius)/(sqrt(6))
Sa = (3*ri)/(sqrt(6))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (3*ri)/(sqrt(6)) --> (3*10)/(sqrt(6))
Evaluating ... ...
Sa = 12.2474487139159
STEP 3: Convert Result to Output's Unit
12.2474487139159 Meter --> No Conversion Required
FINAL ANSWER
12.2474487139159 Meter <-- Side A
(Calculation completed in 00.000 seconds)

5 Edge length of Rhombic Dodecahedron Calculators

Edge length of Rhombic Dodecahedron given surface to volume ratio
side_a = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio) Go
Edge length of Rhombic Dodecahedron given surface area
side_a = sqrt((Surface Area)/(8*sqrt(2))) Go
Edge length of Rhombic Dodecahedron given volume
side_a = ((9*Volume)/(16*sqrt(3)))^(1/3) Go
Edge length of Rhombic Dodecahedron given midradius
side_a = (3*Midradius)/(2*sqrt(2)) Go
Edge length of Rhombic Dodecahedron given inradius
side_a = (3*Inradius)/(sqrt(6)) Go

Edge length of Rhombic Dodecahedron given inradius Formula

side_a = (3*Inradius)/(sqrt(6))
Sa = (3*ri)/(sqrt(6))

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 Edge length of Rhombic Dodecahedron given inradius?

Edge length of Rhombic Dodecahedron given inradius calculator uses side_a = (3*Inradius)/(sqrt(6)) to calculate the Side A, Edge length of Rhombic Dodecahedron given inradius formula is defined as a straight line connecting two adjacent vertices of rhombic dodecahedron. Where, radius = Insphere radius and side_a = edge length of rhombic dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Rhombic Dodecahedron given inradius using this online calculator? To use this online calculator for Edge length of Rhombic Dodecahedron given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Edge length of Rhombic Dodecahedron given inradius calculation can be explained with given input values -> 12.24745 = (3*10)/(sqrt(6)).

FAQ

What is Edge length of Rhombic Dodecahedron given inradius?
Edge length of Rhombic Dodecahedron given inradius formula is defined as a straight line connecting two adjacent vertices of rhombic dodecahedron. Where, radius = Insphere radius and side_a = edge length of rhombic dodecahedron and is represented as Sa = (3*ri)/(sqrt(6)) or side_a = (3*Inradius)/(sqrt(6)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Edge length of Rhombic Dodecahedron given inradius?
Edge length of Rhombic Dodecahedron given inradius formula is defined as a straight line connecting two adjacent vertices of rhombic dodecahedron. Where, radius = Insphere radius and side_a = edge length of rhombic dodecahedron is calculated using side_a = (3*Inradius)/(sqrt(6)). To calculate Edge length of Rhombic Dodecahedron given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Side A?
In this formula, Side A uses Inradius. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • side_a = sqrt((Surface Area)/(8*sqrt(2)))
  • side_a = ((9*Volume)/(16*sqrt(3)))^(1/3)
  • side_a = (3*Midradius)/(2*sqrt(2))
  • side_a = (3*Inradius)/(sqrt(6))
  • side_a = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio)
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