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Surface to Volume Ratio of Anticube Formula

GoSurface to Volume Ratio of Anticube given Height Formula

GoSurface to Volume Ratio of Anticube given Total Surface Area Formula

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Surface to Volume Ratio of Anticube is the fraction of the surface area to the volume of the Anticube. Check FAQs

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot l e}

R_A/V - Surface to Volume Ratio of Anticube?l_e - Edge Length of Anticube?

Surface to Volume Ratio of Anticube Example

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Here is how the Surface to Volume Ratio of Anticube equation looks like with Values.

Here is how the Surface to Volume Ratio of Anticube equation looks like with Units.

Here is how the Surface to Volume Ratio of Anticube equation looks like.

0.571 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 10}

0.571m⁻¹ = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 10m}

0.571 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 10}

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Surface to Volume Ratio of Anticube Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Anticube?

FIRST Step Consider the formula

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot l e}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 10m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 10}

Next Step Evaluate

∴

R A/V = 0.570961517120492m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.571m⁻¹

Surface to Volume Ratio of Anticube Formula Elements

Variables

Functions

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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Anticube

Edge Length of Anticube

Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Anticube

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.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Anticube

Go Surface to Volume Ratio of Anticube given Height

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \frac{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}}}

Go Surface to Volume Ratio of Anticube given Total Surface Area

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}}}

Go Surface to Volume Ratio of Anticube given Volume

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{3 \cdot V}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}}

How to Evaluate Surface to Volume Ratio of Anticube?

Surface to Volume Ratio of Anticube evaluator 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 evaluate 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 evaluate Surface to Volume Ratio of Anticube using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Anticube, enter Edge Length of Anticube (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Anticube

What is the formula to find Surface to Volume Ratio of Anticube?

The formula of Surface to Volume Ratio of Anticube is expressed as Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube). Here is an example- 0.570962 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*10).

How to calculate Surface to Volume Ratio of Anticube?

With Edge Length of Anticube (l_e) we can find Surface to Volume Ratio of Anticube using the formula - Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Anticube?

Here are the different ways to Calculate Surface to Volume Ratio of Anticube-

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))

Can the Surface to Volume Ratio of Anticube be negative?

No, the Surface to Volume Ratio of Anticube, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Anticube?

Surface to Volume Ratio of Anticube is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Anticube can be measured.

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