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Height of Anticube Formula

GoHeight of Anticube given Total Surface Area Formula

GoHeight of Anticube given Volume Formula

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

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

h - Height of Anticube?l_e - Edge Length of Anticube?

Height of Anticube Example

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

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

Here is how the Height of Anticube equation looks like.

8.409 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot 10

8.409m = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot 10m

8.409 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot 10

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Height of Anticube Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot 10m

Next Step Prepare to Evaluate

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot 10

Next Step Evaluate

∴

h = 8.40896415253714m

LAST Step Rounding Answer

∴

h = 8.409m

Height of Anticube Formula Elements

Variables

Functions

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

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 Height of Anticube

Go Height of Anticube given Total Surface Area

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

Go Height of Anticube given Volume

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

Go Height of Anticube given Surface to Volume Ratio

h = \sqrt{1 - \frac{1}{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}

How to Evaluate Height of Anticube?

Height of Anticube evaluator uses Height of Anticube = sqrt(1-1/(2+sqrt(2)))*Edge Length of Anticube to evaluate the Height of Anticube, The Height of Anticube formula is defined as the measure of vertical distance from one top to the bottom face of the Anticube. Height of Anticube is denoted by h symbol.

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

FAQs on Height of Anticube

What is the formula to find Height of Anticube?

The formula of Height of Anticube is expressed as Height of Anticube = sqrt(1-1/(2+sqrt(2)))*Edge Length of Anticube. Here is an example- 8.408964 = sqrt(1-1/(2+sqrt(2)))*10.

How to calculate Height of Anticube?

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

What are the other ways to Calculate Height of Anticube?

Here are the different ways to Calculate Height of Anticube-

Height of Anticube=sqrt(1-1/(2+sqrt(2)))*sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3))))
Height of Anticube=sqrt(1-1/(2+sqrt(2)))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
Height of Anticube=sqrt(1-1/(2+sqrt(2)))*(2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube)

Can the Height of Anticube be negative?

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

Which unit is used to measure Height of Anticube?

Height of Anticube is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Anticube can be measured.

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