Surface to Volume Ratio of Truncated Rhombohedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3))
RA/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*V))^(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
Surface to Volume Ratio of Truncated Rhombohedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.
Volume of Truncated Rhombohedron - (Measured in Cubic Meter) - Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Truncated Rhombohedron: 14500 Cubic Meter --> 14500 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*V))^(1/3)) --> (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*14500))^(1/3))
Evaluating ... ...
RA/V = 0.239490304155844
STEP 3: Convert Result to Output's Unit
0.239490304155844 1 per Meter --> No Conversion Required
FINAL ANSWER
0.239490304155844 0.23949 1 per Meter <-- Surface to Volume Ratio of Truncated Rhombohedron
(Calculation completed in 00.004 seconds)

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Surface to Volume Ratio of Truncated Rhombohedron Calculators

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(14-(2*sqrt(5))))/(4*Circumsphere Radius of Truncated Rhombohedron))
Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length
​ LaTeX ​ Go Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron)
Surface to Volume Ratio of Truncated Rhombohedron
​ LaTeX ​ Go Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((3-sqrt(5))/(2*Edge Length of Truncated Rhombohedron))
Surface to Volume Ratio of Truncated Rhombohedron given Rhombohedral Edge Length
​ LaTeX ​ Go Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(1/Rhombohedral Edge Length of Truncated Rhombohedron)

Surface to Volume Ratio of Truncated Rhombohedron given Volume Formula

​LaTeX ​Go
Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3))
RA/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*V))^(1/3))

What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Surface to Volume Ratio of Truncated Rhombohedron given Volume?

Surface to Volume Ratio of Truncated Rhombohedron given Volume calculator uses Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)) to calculate the Surface to Volume Ratio of Truncated Rhombohedron, Surface to Volume Ratio of Truncated Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron, calculated using its volume. Surface to Volume Ratio of Truncated Rhombohedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Truncated Rhombohedron given Volume, enter Volume of Truncated Rhombohedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Truncated Rhombohedron given Volume calculation can be explained with given input values -> 0.23949 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*14500))^(1/3)).

FAQ

What is Surface to Volume Ratio of Truncated Rhombohedron given Volume?
Surface to Volume Ratio of Truncated Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron, calculated using its volume and is represented as RA/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*V))^(1/3)) or Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)). Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.
How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Volume?
Surface to Volume Ratio of Truncated Rhombohedron given Volume formula is defined as the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron, calculated using its volume is calculated using Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)). To calculate Surface to Volume Ratio of Truncated Rhombohedron given Volume, you need Volume of Truncated Rhombohedron (V). With our tool, you need to enter the respective value for Volume of Truncated Rhombohedron 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 Surface to Volume Ratio of Truncated Rhombohedron?
In this formula, Surface to Volume Ratio of Truncated Rhombohedron uses Volume of Truncated Rhombohedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(1/Rhombohedral Edge Length of Truncated Rhombohedron)
  • Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((3-sqrt(5))/(2*Edge Length of Truncated Rhombohedron))
  • Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron)
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