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Volume of Anticube given Total Surface Area 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 {(\sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}})}^{3}

V - Volume of Anticube?TSA - Total Surface Area of Anticube?

Volume of Anticube given Total Surface Area Example

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Here is how the Volume of Anticube given Total Surface Area equation looks like with Values.

Here is how the Volume of Anticube given Total Surface Area equation looks like with Units.

Here is how the Volume of Anticube given Total Surface Area equation looks like.

953.2977 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}})}^{3}

953.2977m³ = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\sqrt{\frac{545m²}{2 \cdot (1 + \sqrt{3})}})}^{3}

953.2977 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}})}^{3}

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Volume of Anticube given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\sqrt{\frac{545m²}{2 \cdot (1 + \sqrt{3})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}})}^{3}

Next Step Evaluate

∴

V = 953.297671122655m³

LAST Step Rounding Answer

∴

V = 953.2977m³

Volume of Anticube given Total Surface Area 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

Total Surface Area of Anticube

Total Surface Area of Anticube is defined as the measure of the total amount of 2d space occupied by all the faces of the Anticube.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Surface to Volume Ratio

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}

How to Evaluate Volume of Anticube given Total Surface Area?

Volume of Anticube given Total Surface Area evaluator uses Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3 to evaluate the Volume of Anticube, The Volume of Anticube given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using the total surface area. Volume of Anticube is denoted by V symbol.

How to evaluate Volume of Anticube given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Anticube given Total Surface Area, enter Total Surface Area of Anticube (TSA) and hit the calculate button.

FAQs on Volume of Anticube given Total Surface Area

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

The formula of Volume of Anticube given Total Surface Area is expressed as Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3. Here is an example- 953.2977 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(545/(2*(1+sqrt(3)))))^3.

How to calculate Volume of Anticube given Total Surface Area?

With Total Surface Area of Anticube (TSA) we can find Volume of Anticube given Total Surface Area using the formula - Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^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))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3

Can the Volume of Anticube given Total Surface Area be negative?

No, the Volume of Anticube given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Anticube given Total Surface Area 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 Total Surface Area can be measured.

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