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Volume of Anticube given Height Formula

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GoVolume 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 {(\frac{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

V - Volume of Anticube?h - Height of Anticube?

Volume of Anticube given Height Example

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Here is how the Volume of Anticube given Height equation looks like with Values.

Here is how the Volume of Anticube given Height equation looks like with Units.

Here is how the Volume of Anticube given Height equation looks like.

824.0516 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{8}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

824.0516m³ = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{8m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

824.0516 = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{8}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

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Volume of Anticube given Height Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{8m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{8}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}})}^{3}

Next Step Evaluate

∴

V = 824.05156262335m³

LAST Step Rounding Answer

∴

V = 824.0516m³

Volume of Anticube given Height 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

Height of Anticube

Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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}

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 Height?

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

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

FAQs on Volume of Anticube given Height

What is the formula to find Volume of Anticube given Height?

The formula of Volume of Anticube given Height is expressed as Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^3. Here is an example- 824.0516 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(8/(sqrt(1-1/(2+sqrt(2)))))^3.

How to calculate Volume of Anticube given Height?

With Height of Anticube (h) we can find Volume of Anticube given Height using the formula - Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^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))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^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 Height be negative?

No, the Volume of Anticube given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Anticube given Height?

Volume of Anticube given Height 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 Height can be measured.

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