Surface to Volume Ratio of Anticube given Height Calculator

✖Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.ⓘ Height of Anticube [h]

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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 given Height [R_A/V]

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Surface to Volume Ratio of Anticube given Height 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))*Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))
R_A/V = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*h/(sqrt(1-1/(2+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

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.
Height of Anticube - (Measured in Meter) - Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

STEP 1: Convert Input(s) to Base Unit

Height of Anticube: 8 Meter --> 8 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))*h/(sqrt(1-1/(2+sqrt(2))))) --> (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*8/(sqrt(1-1/(2+sqrt(2)))))

Evaluating ... ...

R_A/V = 0.600149366243056

STEP 3: Convert Result to Output's Unit

0.600149366243056 1 per Meter --> No Conversion Required

FINAL ANSWER

0.600149366243056 ≈ 0.600149 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 given Height 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 Surface to Volume Ratio of Anticube given Height?

Surface to Volume Ratio of Anticube given Height calculator uses 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))))) to calculate the Surface to Volume Ratio of Anticube, The Surface to Volume Ratio of Anticube given Height formula is defined as the ratio of surface area to the volume of an Anticube, calculated using height. Surface to Volume Ratio of Anticube is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Anticube given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Anticube given Height, enter Height of Anticube (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Anticube given Height calculation can be explained with given input values -> 0.600149 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*8/(sqrt(1-1/(2+sqrt(2))))).

FAQ

What is Surface to Volume Ratio of Anticube given Height?

The Surface to Volume Ratio of Anticube given Height formula is defined as the ratio of surface area to the volume of an Anticube, calculated using height and is represented as R_A/V = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*h/(sqrt(1-1/(2+sqrt(2))))) or 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))))). Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

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

The Surface to Volume Ratio of Anticube given Height formula is defined as the ratio of surface area to the volume of an Anticube, calculated using height is calculated using 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))))). To calculate Surface to Volume Ratio of Anticube given Height, you need Height of Anticube (h). With our tool, you need to enter the respective value for Height 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 Height 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))*Edge Length of Anticube)
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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