Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length Calculator

✖Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.ⓘ Triangular Edge Length of Truncated Rhombohedron [l_e(Triangle)]

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✖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.ⓘ Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length [R_A/V]

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Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length 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))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron)
R_A/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/l_e(Triangle))
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.
Triangular Edge Length of Truncated Rhombohedron - (Measured in Meter) - Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Triangular Edge Length of Truncated Rhombohedron: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/l_e(Triangle)) --> (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/19)

Evaluating ... ...

R_A/V = 0.239586464945889

STEP 3: Convert Result to Output's Unit

0.239586464945889 1 per Meter --> No Conversion Required

FINAL ANSWER

0.239586464945889 ≈ 0.239586 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 Triangular Edge Length Formula

LaTeX Go

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 Triangular Edge Length?

Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length 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))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron) to calculate the Surface to Volume Ratio of Truncated Rhombohedron, Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length 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 triangular edge length. Surface to Volume Ratio of Truncated Rhombohedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length using this online calculator? To use this online calculator for Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length, enter Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)) and hit the calculate button. Here is how the Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length calculation can be explained with given input values -> 0.239586 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/19).

FAQ

What is Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length?

Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length 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 triangular edge length and is represented as R_A/V = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/l_e(Triangle)) 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))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron). Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length?

Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length 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 triangular edge length 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))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron). To calculate Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length, you need Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)). With our tool, you need to enter the respective value for Triangular Edge Length 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 Triangular Edge Length 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(14-(2*sqrt(5))))/(4*Circumsphere Radius of Truncated Rhombohedron))

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