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Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5))
a = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(RAV*((99+47*sqrt(5))))))/(sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(RAV*((99+47*sqrt(5))))))/(sqrt(5)) --> (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(0.5*((99+47*sqrt(5))))))/(sqrt(5))
Evaluating ... ...
a = 11.0387292603523
STEP 3: Convert Result to Output's Unit
11.0387292603523 Meter -->1103.87292603523 Centimeter (Check conversion here)
FINAL ANSWER
1103.87292603523 Centimeter <-- Edge length
(Calculation completed in 00.000 seconds)

6 Edge length dodecahedron of Truncated Dodecahedron Calculators

Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio
edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5)) Go
Edge length dodecahedron of Truncated Dodecahedron given surface area
edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)) Go
Edge length dodecahedron of Truncated Dodecahedron given circumradius
edge_length = (5*((4*Circumradius)/(sqrt(74+30*sqrt(5)))))/(sqrt(5)) Go
Edge length dodecahedron of Truncated Dodecahedron given volume
edge_length = (5*(((12*Volume)/(5*(99+47*sqrt(5))))^(1/3)))/(sqrt(5)) Go
Edge length dodecahedron of Truncated Dodecahedron given midradius
edge_length = (5*((4*Midradius)/(5+(3*sqrt(5)))))/(sqrt(5)) Go
Edge length dodecahedron of Truncated Dodecahedron
edge_length = (5*Side)/(sqrt(5)) Go

Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio Formula

edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5))
a = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(RAV*((99+47*sqrt(5))))))/(sqrt(5))

What is a truncated dodecahedron?

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. 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 Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio?

Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio calculator uses edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5)) to calculate the Edge length, The Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of icosidodecahedron. Where, a = truncated dodecahedron edge. Edge length and is denoted by a symbol.

How to calculate Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio using this online calculator? To use this online calculator for Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio, enter Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio calculation can be explained with given input values -> 1103.873 = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(0.5*((99+47*sqrt(5))))))/(sqrt(5)).

FAQ

What is Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio?
The Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of icosidodecahedron. Where, a = truncated dodecahedron edge and is represented as a = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(RAV*((99+47*sqrt(5))))))/(sqrt(5)) or edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5)). Surface to Volume Ratio is fraction of surface to volume.
How to calculate Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio?
The Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of icosidodecahedron. Where, a = truncated dodecahedron edge is calculated using edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5)). To calculate Edge length dodecahedron of Truncated Dodecahedron given surface to volume ratio, you need Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Edge length?
In this formula, Edge length uses Surface to Volume Ratio. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • edge_length = (5*Side)/(sqrt(5))
  • edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5))
  • edge_length = (5*(((12*Volume)/(5*(99+47*sqrt(5))))^(1/3)))/(sqrt(5))
  • edge_length = (5*((4*Circumradius)/(sqrt(74+30*sqrt(5)))))/(sqrt(5))
  • edge_length = (5*((4*Midradius)/(5+(3*sqrt(5)))))/(sqrt(5))
  • edge_length = (5*((12*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))/(Surface to Volume Ratio*((99+47*sqrt(5))))))/(sqrt(5))
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