Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio Calculator

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

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

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Formula

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Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio

Formula

`"l"_{"e"} = (6*(2+sqrt(2)+sqrt(3)))/("R"_{"A/V"}*(11+(7*sqrt(2))))`

Example

`"7.387161m"=(6*(2+sqrt(2)+sqrt(3)))/("0.2m⁻¹"*(11+(7*sqrt(2))))`

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Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))
l_e = (6*(2+sqrt(2)+sqrt(3)))/(R_A/V*(11+(7*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 Truncated Cuboctahedron - (Measured in Meter) - Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
Surface to Volume Ratio of Truncated Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Truncated Cuboctahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (6*(2+sqrt(2)+sqrt(3)))/(R_A/V*(11+(7*sqrt(2)))) --> (6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2))))

Evaluating ... ...

l_e = 7.38716086520363

STEP 3: Convert Result to Output's Unit

7.38716086520363 Meter --> No Conversion Required

FINAL ANSWER

7.38716086520363 ≈ 7.387161 Meter <-- Edge Length of Truncated Cuboctahedron

(Calculation completed in 00.004 seconds)

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< 5 Edge Length of Truncated Cuboctahedron Calculators

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio

Go Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Total Surface Area

Go Edge Length of Truncated Cuboctahedron = sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))

Edge Length of Truncated Cuboctahedron given Circumsphere Radius

Go Edge Length of Truncated Cuboctahedron = (2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Midsphere Radius

Go Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Volume

Go Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio Formula

Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))
l_e = (6*(2+sqrt(2)+sqrt(3)))/(R_A/V*(11+(7*sqrt(2))))

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

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

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio calculator uses Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))) to calculate the Edge Length of Truncated Cuboctahedron, Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the surface to volume ratio of the Truncated Cuboctahedron. Edge Length of Truncated Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Cuboctahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 7.387161 = (6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2)))).

FAQ

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

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the surface to volume ratio of the Truncated Cuboctahedron and is represented as l_e = (6*(2+sqrt(2)+sqrt(3)))/(R_A/V*(11+(7*sqrt(2)))) or Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))). Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron.

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

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the surface to volume ratio of the Truncated Cuboctahedron is calculated using Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))). To calculate Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Truncated Cuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Truncated 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 Truncated Cuboctahedron?

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

Edge Length of Truncated Cuboctahedron = sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
Edge Length of Truncated Cuboctahedron = (2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2))))
Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))

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