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Edge length of Rhombic Dodecahedron given midradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (3*Midradius)/(2*sqrt(2))
Sa = (3*rm)/(2*sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Midradius - Midradius is the radius of sphere which is in between insphere and circumsphere. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Midradius: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (3*rm)/(2*sqrt(2)) --> (3*13)/(2*sqrt(2))
Evaluating ... ...
Sa = 13.7885822331377
STEP 3: Convert Result to Output's Unit
13.7885822331377 Meter --> No Conversion Required
FINAL ANSWER
13.7885822331377 Meter <-- Side A
(Calculation completed in 00.016 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 midradius Formula

side_a = (3*Midradius)/(2*sqrt(2))
Sa = (3*rm)/(2*sqrt(2))

What are properties of rhombic dodecahedron?

The rhombic dodecahedron can be viewed as the convex hull of the union of the vertices of a cube and an octahedron. The 6 vertices where 4 rhombi meet correspond to the vertices of the octahedron, while the 8 vertices where 3 rhombi meet correspond to the vertices of the cube. The rhombic dodecahedron is one of the nine edge-transitive convex polyhedra, the others being the five Platonic solids, the cuboctahedron, the icosidodecahedron and the rhombic triacontahedron.

How to Calculate Edge length of Rhombic Dodecahedron given midradius?

Edge length of Rhombic Dodecahedron given midradius calculator uses side_a = (3*Midradius)/(2*sqrt(2)) to calculate the Side A, Edge length of Rhombic Dodecahedron given midradius formula is defined as a straight line connecting two adjacent vertices of Rhombic Dodecahedron. Where, side_a = edge length of Rhombic Dodecahedron and radius= midsphere radius of Rhombic Dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Rhombic Dodecahedron given midradius using this online calculator? To use this online calculator for Edge length of Rhombic Dodecahedron given midradius, enter Midradius (rm) and hit the calculate button. Here is how the Edge length of Rhombic Dodecahedron given midradius calculation can be explained with given input values -> 13.78858 = (3*13)/(2*sqrt(2)).

FAQ

What is Edge length of Rhombic Dodecahedron given midradius?
Edge length of Rhombic Dodecahedron given midradius formula is defined as a straight line connecting two adjacent vertices of Rhombic Dodecahedron. Where, side_a = edge length of Rhombic Dodecahedron and radius= midsphere radius of Rhombic Dodecahedron and is represented as Sa = (3*rm)/(2*sqrt(2)) or side_a = (3*Midradius)/(2*sqrt(2)). Midradius is the radius of sphere which is in between insphere and circumsphere.
How to calculate Edge length of Rhombic Dodecahedron given midradius?
Edge length of Rhombic Dodecahedron given midradius formula is defined as a straight line connecting two adjacent vertices of Rhombic Dodecahedron. Where, side_a = edge length of Rhombic Dodecahedron and radius= midsphere radius of Rhombic Dodecahedron is calculated using side_a = (3*Midradius)/(2*sqrt(2)). To calculate Edge length of Rhombic Dodecahedron given midradius, you need Midradius (rm). With our tool, you need to enter the respective value for Midradius 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 Midradius. 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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