Edge Length of Cuboctahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.ⓘ Surface to Volume Ratio of Cuboctahedron [R_A/V]

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✖Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.ⓘ Edge Length of Cuboctahedron given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Cuboctahedron given Surface to Volume Ratio

Formula

`"l"_{"e"} = (18+(6*sqrt(3)))/(5*sqrt(2)*"R"_{"A/V"})`

Example

`"10.0382m"=(18+(6*sqrt(3)))/(5*sqrt(2)*"0.4m⁻¹")`

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Edge Length of Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
l_e = (18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V)
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 Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.
Surface to Volume Ratio of Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Cuboctahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V) --> (18+(6*sqrt(3)))/(5*sqrt(2)*0.4)

Evaluating ... ...

l_e = 10.0381956448537

STEP 3: Convert Result to Output's Unit

10.0381956448537 Meter --> No Conversion Required

FINAL ANSWER

10.0381956448537 ≈ 10.0382 Meter <-- Edge Length of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 7 Edge Length of Cuboctahedron Calculators

Edge Length of Cuboctahedron given Surface to Volume Ratio

Go Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)

Edge Length of Cuboctahedron given Lateral Surface Area

Go Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))

Edge Length of Cuboctahedron given Total Surface Area

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

Edge Length of Cuboctahedron given Volume

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

Edge Length of Cuboctahedron given Midsphere Radius

Go Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Circumsphere Radius

Go Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Perimeter

Go Edge Length of Cuboctahedron = Perimeter of Cuboctahedron/24

Edge Length of Cuboctahedron given Surface to Volume Ratio Formula

Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
l_e = (18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V)

What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

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

Edge Length of Cuboctahedron given Surface to Volume Ratio calculator uses Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron) to calculate the Edge Length of Cuboctahedron, The Edge Length of Cuboctahedron given Surface to Volume Ratio formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using surface to volume ratio of Cuboctahedron. Edge Length of Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.0382 = (18+(6*sqrt(3)))/(5*sqrt(2)*0.4).

FAQ

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

The Edge Length of Cuboctahedron given Surface to Volume Ratio formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using surface to volume ratio of Cuboctahedron and is represented as l_e = (18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V) or Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

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

The Edge Length of Cuboctahedron given Surface to Volume Ratio formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using surface to volume ratio of Cuboctahedron is calculated using Edge Length of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). To calculate Edge Length of Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Cuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Cuboctahedron 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 Cuboctahedron?

In this formula, Edge Length of Cuboctahedron uses Surface to Volume Ratio of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron
Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Edge Length of Cuboctahedron = Perimeter of Cuboctahedron/24

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