Volume 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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✖Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.ⓘ Volume of Anticube given Surface to Volume Ratio [V]

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Volume of Anticube given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Volume of Anticube - (Measured in Cubic Meter) - Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of 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

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

Evaluating ... ...

V = 1425.02482357546

STEP 3: Convert Result to Output's Unit

1425.02482357546 Cubic Meter --> No Conversion Required

FINAL ANSWER

1425.02482357546 ≈ 1425.025 Cubic Meter <-- Volume of Anticube

(Calculation completed in 00.004 seconds)

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< Volume of Anticube Calculators

Volume of Anticube given Surface to Volume Ratio

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

Volume of Anticube given Total Surface Area

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

Volume of Anticube given Height

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

Volume of Anticube

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

Volume of Anticube given Surface to Volume Ratio Formula

LaTeX Go

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 Volume of Anticube given Surface to Volume Ratio?

Volume of Anticube given Surface to Volume Ratio calculator uses Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3 to calculate the Volume of Anticube, The Volume of Anticube given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using surface to volume ratio. Volume of Anticube is denoted by V symbol.

How to calculate Volume of Anticube given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Anticube given Surface to Volume Ratio calculation can be explained with given input values -> 1425.025 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5))^3.

FAQ

What is Volume of Anticube given Surface to Volume Ratio?

The Volume of Anticube given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using surface to volume ratio and is represented as V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*R_A/V))^3 or Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3. Surface to Volume Ratio of Anticube is the fraction of the surface area to the volume of the Anticube.

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

The Volume of Anticube given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using surface to volume ratio is calculated using Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3. To calculate Volume 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 Volume of Anticube?

In this formula, Volume 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 -

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

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