Edge Length of Anticube given Surface to Volume Ratio Calculator

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

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✖Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.ⓘ Edge Length of Anticube given Surface to Volume Ratio [l_e]

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Edge Length of Anticube given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube)
l_e = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+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 Anticube - (Measured in Meter) - Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.
Surface to Volume Ratio of Anticube - (Measured in 1 per Meter) - Surface to Volume Ratio of Anticube is the fraction of the surface area to the volume of the Anticube.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Anticube: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*R_A/V) --> (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5)

Evaluating ... ...

l_e = 11.4192303424098

STEP 3: Convert Result to Output's Unit

11.4192303424098 Meter --> No Conversion Required

FINAL ANSWER

11.4192303424098 ≈ 11.41923 Meter <-- Edge Length of Anticube

(Calculation completed in 00.004 seconds)

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< Edge Length of Anticube Calculators

Edge Length of Anticube given Surface to Volume Ratio

LaTeX Go Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube)

Edge Length of Anticube given Volume

LaTeX Go Edge Length of Anticube = ((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)

Edge Length of Anticube given Total Surface Area

LaTeX Go Edge Length of Anticube = sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3))))

Edge Length of Anticube

LaTeX Go Edge Length of Anticube = Height of Anticube/(sqrt(1-1/(2+sqrt(2))))

Edge Length of Anticube given Surface to Volume Ratio Formula

LaTeX Go

Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube)
l_e = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*R_A/V)

What is an Anticube?

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an anticube. If all its faces are regular, it is a semiregular polyhedron. When eight points are distributed on the surface of a sphere with the aim of maximising the distance between them in some sense, then the resulting shape corresponds to a square anti-prism rather than a cube. Different examples include maximising the distance to the nearest point, or using electrons to maximise the sum of all reciprocals of squares of distances.

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

Edge Length of Anticube given Surface to Volume Ratio calculator uses Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube) to calculate the Edge Length of Anticube, The Edge Length of Anticube given Surface to Volume Ratio formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using surface to volume ratio. Edge Length of Anticube is denoted by l_e symbol.

How to calculate Edge Length of Anticube given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Anticube given Surface to Volume Ratio, enter Surface to Volume Ratio of Anticube (R_A/V) and hit the calculate button. Here is how the Edge Length of Anticube given Surface to Volume Ratio calculation can be explained with given input values -> 11.41923 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5).

FAQ

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

The Edge Length of Anticube given Surface to Volume Ratio formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using surface to volume ratio and is represented as l_e = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*R_A/V) or Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube). Surface to Volume Ratio of Anticube is the fraction of the surface area to the volume of the Anticube.

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

The Edge Length of Anticube given Surface to Volume Ratio formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using surface to volume ratio is calculated using Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube). To calculate Edge Length of Anticube given Surface to Volume Ratio, you need Surface to Volume Ratio of Anticube (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Anticube 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 Anticube?

In this formula, Edge Length of Anticube uses Surface to Volume Ratio of Anticube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Anticube = Height of Anticube/(sqrt(1-1/(2+sqrt(2))))
Edge Length of Anticube = sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3))))
Edge Length of Anticube = ((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)

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