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Volume of Anticube given Surface to Volume Ratio Formula

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Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube. Check FAQs

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

V - Volume of Anticube?R_A/V - Surface to Volume Ratio of Anticube?

Volume of Anticube given Surface to Volume Ratio Example

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

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

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

1425.0248 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5})}^{3}

1425.0248m³ = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5m⁻¹})}^{3}

1425.0248 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot 0.5})}^{3}

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Volume of Anticube given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 1425.02482357546m³

LAST Step Rounding Answer

∴

V = 1425.0248m³

Volume of Anticube given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Anticube

Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Anticube

Go Volume of Anticube

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

Go Volume of Anticube given Height

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

Go Volume of Anticube given Total Surface Area

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

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

Volume of Anticube given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Volume of Anticube given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Anticube given Surface to Volume Ratio, enter Surface to Volume Ratio of Anticube (R_A/V) and hit the calculate button.

FAQs on Volume of Anticube given Surface to Volume Ratio

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

The formula of Volume of Anticube given Surface to Volume Ratio is expressed as 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. Here is an example- 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.

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

With Surface to Volume Ratio of Anticube (R_A/V) we can find Volume of Anticube given Surface to Volume Ratio using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Anticube?

Here are the different ways to Calculate Volume of Anticube-

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

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

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

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

Volume of Anticube given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Anticube given Surface to Volume Ratio can be measured.

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