Edge Length of Truncated Icosidodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)
le = (V/(5*(19+(10*sqrt(5)))))^(1/3)
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
Edge Length of Truncated Icosidodecahedron - (Measured in Meter) - Edge Length of Truncated Icosidodecahedron is the length of any edge of the Truncated Icosidodecahedron.
Volume of Truncated Icosidodecahedron - (Measured in Cubic Meter) - Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Truncated Icosidodecahedron: 210000 Cubic Meter --> 210000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = (V/(5*(19+(10*sqrt(5)))))^(1/3) --> (210000/(5*(19+(10*sqrt(5)))))^(1/3)
Evaluating ... ...
le = 10.0512607782761
STEP 3: Convert Result to Output's Unit
10.0512607782761 Meter --> No Conversion Required
FINAL ANSWER
10.0512607782761 10.05126 Meter <-- Edge Length of Truncated Icosidodecahedron
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Edge Length of Truncated Icosidodecahedron Calculators

Edge Length of Truncated Icosidodecahedron given Total Surface Area
​ LaTeX ​ Go Edge Length of Truncated Icosidodecahedron = sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
Edge Length of Truncated Icosidodecahedron given Circumsphere Radius
​ LaTeX ​ Go Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))
Edge Length of Truncated Icosidodecahedron given Midsphere Radius
​ LaTeX ​ Go Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5))))
Edge Length of Truncated Icosidodecahedron given Volume
​ LaTeX ​ Go Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)

Edge Length of Truncated Icosidodecahedron given Volume Formula

​LaTeX ​Go
Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)
le = (V/(5*(19+(10*sqrt(5)))))^(1/3)

What is a Truncated Icosidodecahedron?

In geometry, the Truncated Icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal non-prismatic solids constructed by two or more types of regular polygon faces. It has 62 faces which include 30 squares, 20 regular hexagons and 12 regular decagons. Each vertex is identical in such a way that, one square, one hexagon and one decagon join at each vertex. It has the most edges and vertices of all Platonic and Archimedean solids, though the snub dodecahedron has more number of faces. Out of all vertex-transitive polyhedra, it occupies the largest percentage (89.80%) of the volume of a sphere in which it is inscribed, very narrowly beating the Snub Dodecahedron (89.63%) and Small Rhombicosidodecahedron (89.23%), and less narrowly beating the Truncated Icosahedron (86.74%).

How to Calculate Edge Length of Truncated Icosidodecahedron given Volume?

Edge Length of Truncated Icosidodecahedron given Volume calculator uses Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3) to calculate the Edge Length of Truncated Icosidodecahedron, Edge Length of Truncated Icosidodecahedron given Volume formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the volume of the Truncated Icosidodecahedron. Edge Length of Truncated Icosidodecahedron is denoted by le symbol.

How to calculate Edge Length of Truncated Icosidodecahedron given Volume using this online calculator? To use this online calculator for Edge Length of Truncated Icosidodecahedron given Volume, enter Volume of Truncated Icosidodecahedron (V) and hit the calculate button. Here is how the Edge Length of Truncated Icosidodecahedron given Volume calculation can be explained with given input values -> 10.05126 = (210000/(5*(19+(10*sqrt(5)))))^(1/3).

FAQ

What is Edge Length of Truncated Icosidodecahedron given Volume?
Edge Length of Truncated Icosidodecahedron given Volume formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the volume of the Truncated Icosidodecahedron and is represented as le = (V/(5*(19+(10*sqrt(5)))))^(1/3) or Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3). Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron.
How to calculate Edge Length of Truncated Icosidodecahedron given Volume?
Edge Length of Truncated Icosidodecahedron given Volume formula is defined as the length of any edge of the Truncated Icosidodecahedron, and calculated using the volume of the Truncated Icosidodecahedron is calculated using Edge Length of Truncated Icosidodecahedron = (Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3). To calculate Edge Length of Truncated Icosidodecahedron given Volume, you need Volume of Truncated Icosidodecahedron (V). With our tool, you need to enter the respective value for Volume of Truncated Icosidodecahedron 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 of Truncated Icosidodecahedron?
In this formula, Edge Length of Truncated Icosidodecahedron uses Volume of Truncated Icosidodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Truncated Icosidodecahedron = sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
  • Edge Length of Truncated Icosidodecahedron = (2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5))))
  • Edge Length of Truncated Icosidodecahedron = (2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5))))
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