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Height of Anticube given Surface to Volume Ratio Formula

GoHeight of Anticube Formula

GoHeight of Anticube given Total Surface Area 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 \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot R A/V}

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

Height of Anticube given Surface to Volume Ratio Example

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

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

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

9.6024 = \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 0.5}

9.6024m = \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 0.5m⁻¹}

9.6024 = \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 0.5}

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Height of Anticube given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.5m⁻¹}

Next Step Prepare to Evaluate

∴

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 0.5}

Next Step Evaluate

∴

h = 9.60238985988889m

LAST Step Rounding Answer

∴

h = 9.6024m

Height of Anticube given Surface to Volume Ratio 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

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 Height of Anticube

Go Height of Anticube

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

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}}

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

Height of Anticube given Surface to Volume Ratio evaluator uses 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) to evaluate the Height of Anticube, The Height of Anticube given Surface to Volume Ratio formula is defined as the measure of vertical distance from one top to the bottom face of the Anticube, calculated using surface to volume ratio. Height of Anticube is denoted by h symbol.

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

FAQs on Height of Anticube given Surface to Volume Ratio

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

The formula of Height of Anticube given Surface to Volume Ratio is expressed as 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). Here is an example- 9.60239 = sqrt(1-1/(2+sqrt(2)))*(2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5).

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

With Surface to Volume Ratio of Anticube (R_A/V) we can find Height of Anticube given Surface to Volume Ratio using the formula - 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). 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)))*Edge Length 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)

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

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

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

Height of Anticube given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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