Volume of Rhombicosidodecahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3
V = (60+(29*sqrt(5)))/3*le^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
Volume of Rhombicosidodecahedron - (Measured in Cubic Meter) - Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.
Edge Length of Rhombicosidodecahedron - (Measured in Meter) - Edge Length of Rhombicosidodecahedron is the length of any edge of the Rhombicosidodecahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Rhombicosidodecahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (60+(29*sqrt(5)))/3*le^3 --> (60+(29*sqrt(5)))/3*10^3
Evaluating ... ...
V = 41615.323782498
STEP 3: Convert Result to Output's Unit
41615.323782498 Cubic Meter --> No Conversion Required
FINAL ANSWER
41615.323782498 41615.32 Cubic Meter <-- Volume of Rhombicosidodecahedron
(Calculation completed in 00.008 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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Volume of Rhombicosidodecahedron Calculators

Volume of Rhombicosidodecahedron given Total Surface Area
​ LaTeX ​ Go Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*(sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3
Volume of Rhombicosidodecahedron given Circumsphere Radius
​ LaTeX ​ Go Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3
Volume of Rhombicosidodecahedron given Midsphere Radius
​ LaTeX ​ Go Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3
Volume of Rhombicosidodecahedron
​ LaTeX ​ Go Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3

Volume of Rhombicosidodecahedron Formula

​LaTeX ​Go
Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3
V = (60+(29*sqrt(5)))/3*le^3

What is a Rhombicosidodecahedron?

In geometry, the Rhombicosidodecahedron, is an Archimedean solid, one of the 13 convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. If you expand an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a Rhombicosidodecahedron. Therefore, it has the same number of triangles as an icosahedron and the same number of pentagons as a dodecahedron, with a square for each edge of either.

How to Calculate Volume of Rhombicosidodecahedron?

Volume of Rhombicosidodecahedron calculator uses Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3 to calculate the Volume of Rhombicosidodecahedron, Volume of Rhombicosidodecahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron. Volume of Rhombicosidodecahedron is denoted by V symbol.

How to calculate Volume of Rhombicosidodecahedron using this online calculator? To use this online calculator for Volume of Rhombicosidodecahedron, enter Edge Length of Rhombicosidodecahedron (le) and hit the calculate button. Here is how the Volume of Rhombicosidodecahedron calculation can be explained with given input values -> 41615.32 = (60+(29*sqrt(5)))/3*10^3.

FAQ

What is Volume of Rhombicosidodecahedron?
Volume of Rhombicosidodecahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron and is represented as V = (60+(29*sqrt(5)))/3*le^3 or Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3. Edge Length of Rhombicosidodecahedron is the length of any edge of the Rhombicosidodecahedron.
How to calculate Volume of Rhombicosidodecahedron?
Volume of Rhombicosidodecahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron is calculated using Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*Edge Length of Rhombicosidodecahedron^3. To calculate Volume of Rhombicosidodecahedron, you need Edge Length of Rhombicosidodecahedron (le). With our tool, you need to enter the respective value for Edge Length of Rhombicosidodecahedron 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 Volume of Rhombicosidodecahedron?
In this formula, Volume of Rhombicosidodecahedron uses Edge Length of Rhombicosidodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*(sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))^3
  • Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5)))))^3
  • Volume of Rhombicosidodecahedron = (60+(29*sqrt(5)))/3*((2*Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5)))))^3
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