Edge Length of Rhombicuboctahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.ⓘ Surface to Volume Ratio of Rhombicuboctahedron [R_A/V]

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✖Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.ⓘ Edge Length of Rhombicuboctahedron given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Rhombicuboctahedron given Surface to Volume Ratio

Formula

`"l"_{"e"} = (3*(9+sqrt(3)))/("R"_{"A/V"}*(6+(5*sqrt(2))))`

Example

`"8.210539m"=(3*(9+sqrt(3)))/("0.3m⁻¹"*(6+(5*sqrt(2))))`

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Edge Length of Rhombicuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))
l_e = (3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2))))
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 Rhombicuboctahedron - (Measured in Meter) - Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.
Surface to Volume Ratio of Rhombicuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombicuboctahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))) --> (3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2))))

Evaluating ... ...

l_e = 8.21053869663707

STEP 3: Convert Result to Output's Unit

8.21053869663707 Meter --> No Conversion Required

FINAL ANSWER

8.21053869663707 ≈ 8.210539 Meter <-- Edge Length of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 5 Edge Length of Rhombicuboctahedron Calculators

Edge Length of Rhombicuboctahedron given Surface to Volume Ratio

Go Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Edge Length of Rhombicuboctahedron given Circumsphere Radius

Go Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Total Surface Area

Go Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Edge Length of Rhombicuboctahedron given Midsphere Radius

Go Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Volume

Go Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Edge Length of Rhombicuboctahedron given Surface to Volume Ratio Formula

Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))
l_e = (3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Edge Length of Rhombicuboctahedron given Surface to Volume Ratio?

Edge Length of Rhombicuboctahedron given Surface to Volume Ratio calculator uses Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))) to calculate the Edge Length of Rhombicuboctahedron, Edge Length of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombicuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Rhombicuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombicuboctahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Rhombicuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.210539 = (3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))).

FAQ

What is Edge Length of Rhombicuboctahedron given Surface to Volume Ratio?

Edge Length of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron and is represented as l_e = (3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))) or Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))). Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

How to calculate Edge Length of Rhombicuboctahedron given Surface to Volume Ratio?

Edge Length of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron is calculated using Edge Length of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))). To calculate Edge Length of Rhombicuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombicuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Rhombicuboctahedron 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 Rhombicuboctahedron?

In this formula, Edge Length of Rhombicuboctahedron uses Surface to Volume Ratio of Rhombicuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))
Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

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