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Edge Length of Anticube given Surface to Volume Ratio Formula

GoEdge Length of Anticube Formula

GoEdge Length of Anticube given Total Surface Area Formula

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

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

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

Edge Length of Anticube given Surface to Volume Ratio Example

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

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

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

11.4192 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5}

11.4192m = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5m⁻¹}

11.4192 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5}

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Edge Length of Anticube given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5}

Next Step Evaluate

∴

l e = 11.4192303424098m

LAST Step Rounding Answer

∴

l e = 11.4192m

Edge Length of Anticube given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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

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 Edge Length of Anticube

Go Edge Length of Anticube

l e = \frac{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}}

Go Edge Length of Anticube given Total Surface Area

l e = \sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}}

Go Edge Length of Anticube given Volume

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

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

Edge Length of Anticube given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Edge Length of Anticube given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Edge Length of Anticube given Surface to Volume Ratio

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

The formula of Edge Length of Anticube given Surface to Volume Ratio is expressed as Edge Length of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube). Here is an example- 11.41923 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5).

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

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

What are the other ways to Calculate Edge Length of Anticube?

Here are the different ways to Calculate Edge Length of Anticube-

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)

Can the Edge Length of Anticube given Surface to Volume Ratio be negative?

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

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

Edge Length of Anticube given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Anticube given Surface to Volume Ratio can be measured.

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