Surface to Volume Ratio of Anticube Calculator

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

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✖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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Surface to Volume Ratio of Anticube Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Edge Length of Anticube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*l_e) --> (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*10)

Evaluating ... ...

R_A/V = 0.570961517120492

STEP 3: Convert Result to Output's Unit

0.570961517120492 1 per Meter --> No Conversion Required

FINAL ANSWER

0.570961517120492 ≈ 0.570962 1 per Meter <-- Surface to Volume Ratio of Anticube

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Anticube Calculators

Surface to Volume Ratio of Anticube given Volume

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

Surface to Volume Ratio of Anticube given Total Surface Area

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

Surface to Volume Ratio of Anticube given Height

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

Surface to Volume Ratio of Anticube

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

Surface to Volume Ratio of Anticube Formula

LaTeX Go

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

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 Surface to Volume Ratio of Anticube?

Surface to Volume Ratio of Anticube calculator uses Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube) to calculate the Surface to Volume Ratio of Anticube, The Surface to Volume Ratio of Anticube formula is defined as the ratio of surface area to the volume of an Anticube. Surface to Volume Ratio of Anticube is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Anticube using this online calculator? To use this online calculator for Surface to Volume Ratio of Anticube, enter Edge Length of Anticube (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Anticube calculation can be explained with given input values -> 0.570962 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*10).

FAQ

What is Surface to Volume Ratio of Anticube?

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

How to calculate Surface to Volume Ratio of Anticube?

The Surface to Volume Ratio of Anticube formula is defined as the ratio of surface area to the volume of an Anticube is calculated using Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube). To calculate Surface to Volume Ratio of Anticube, you need Edge Length of Anticube (l_e). With our tool, you need to enter the respective value for Edge Length 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 Surface to Volume Ratio of Anticube?

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

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

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