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Height of Anticube given Total Surface Area Formula

GoHeight of Anticube 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 \sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}}

h - Height of Anticube?TSA - Total Surface Area of Anticube?

Height of Anticube given Total Surface Area Example

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

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

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

8.3981 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}}

8.3981m = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{545m²}{2 \cdot (1 + \sqrt{3})}}

8.3981 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}}

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Height of Anticube given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{545m²}{2 \cdot (1 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{545}{2 \cdot (1 + \sqrt{3})}}

Next Step Evaluate

∴

h = 8.39810632169163m

LAST Step Rounding Answer

∴

h = 8.3981m

Height of Anticube given Total Surface Area 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

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 Height of Anticube

Go Height of Anticube

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

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 given Total Surface Area?

Height of Anticube given Total Surface Area evaluator uses Height of Anticube = sqrt(1-1/(2+sqrt(2)))*sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))) to evaluate the Height of Anticube, The Height of Anticube given Total Surface Area formula is defined as the measure of vertical distance from one top to bottom face of the Anticube, calculated using total surface area. Height of Anticube is denoted by h symbol.

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

FAQs on Height of Anticube given Total Surface Area

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

The formula of Height of Anticube given Total Surface Area is expressed as Height of Anticube = sqrt(1-1/(2+sqrt(2)))*sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))). Here is an example- 8.398106 = sqrt(1-1/(2+sqrt(2)))*sqrt(545/(2*(1+sqrt(3)))).

How to calculate Height of Anticube given Total Surface Area?

With Total Surface Area of Anticube (TSA) we can find Height of Anticube given Total Surface Area using the formula - Height of Anticube = sqrt(1-1/(2+sqrt(2)))*sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))). This formula also uses Square Root Function 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)))*Edge Length of Anticube
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 given Total Surface Area be negative?

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

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

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

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