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Edge length dodecahedron of Truncated Dodecahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5))
a = (5*(sqrt(SA/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (5*(sqrt(SA/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)) --> (5*(sqrt(50/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5))
Evaluating ... ...
a = 1.09133276232642
STEP 3: Convert Result to Output's Unit
1.09133276232642 Meter -->109.133276232642 Centimeter (Check conversion here)
FINAL ANSWER
109.133276232642 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 area Formula

edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5))
a = (5*(sqrt(SA/(5*(sqrt(3)+(6*(sqrt(5)+2*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 area?

Edge length dodecahedron of Truncated Dodecahedron given surface area calculator uses edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)) to calculate the Edge length, The Edge length dodecahedron of Truncated Dodecahedron given surface area formula is defined as measure of the total area that the surface of the object occupies of an 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 area using this online calculator? To use this online calculator for Edge length dodecahedron of Truncated Dodecahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length dodecahedron of Truncated Dodecahedron given surface area calculation can be explained with given input values -> 109.1333 = (5*(sqrt(50/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)).

FAQ

What is Edge length dodecahedron of Truncated Dodecahedron given surface area?
The Edge length dodecahedron of Truncated Dodecahedron given surface area formula is defined as measure of the total area that the surface of the object occupies of an icosidodecahedron, where a =truncated dodecahedron edge and is represented as a = (5*(sqrt(SA/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)) or edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length dodecahedron of Truncated Dodecahedron given surface area?
The Edge length dodecahedron of Truncated Dodecahedron given surface area formula is defined as measure of the total area that the surface of the object occupies of an icosidodecahedron, where a =truncated dodecahedron edge is calculated using edge_length = (5*(sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5))))))))/(sqrt(5)). To calculate Edge length dodecahedron of Truncated Dodecahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 Area. 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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