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Surface to Volume Ratio of Anticube given Height Formula

GoSurface to Volume Ratio of Anticube Formula

GoSurface to Volume Ratio of Anticube given Total Surface Area Formula

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Surface to Volume Ratio of Anticube is the fraction of the surface area to the volume of the Anticube. Check FAQs

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

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

Surface to Volume Ratio of Anticube given Height Example

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

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

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

0.6001 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \frac{8}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}}}

0.6001m⁻¹ = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \frac{8m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}}}

0.6001 = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \frac{8}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}}}}

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Surface to Volume Ratio of Anticube given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R A/V = 0.600149366243056m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6001m⁻¹

Surface to Volume Ratio of Anticube given Height Formula Elements

Variables

Functions

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

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 Surface to Volume Ratio of Anticube

Go Surface to Volume Ratio of Anticube

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot l e}

Go Surface to Volume Ratio of Anticube given Total Surface Area

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot \sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}}}

Go Surface to Volume Ratio of Anticube given Volume

R A/V = \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot {(\frac{3 \cdot V}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}}

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

Surface to Volume Ratio of Anticube given Height evaluator uses Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Height of Anticube/(sqrt(1-1/(2+sqrt(2))))) to evaluate the Surface to Volume Ratio of Anticube, The Surface to Volume Ratio of Anticube given Height formula is defined as the ratio of surface area to the volume of an Anticube, calculated using height. Surface to Volume Ratio of Anticube is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Anticube given Height

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

The formula of Surface to Volume Ratio of Anticube given Height is expressed as Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Height of Anticube/(sqrt(1-1/(2+sqrt(2))))). Here is an example- 0.600149 = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*8/(sqrt(1-1/(2+sqrt(2))))).

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

With Height of Anticube (h) we can find Surface to Volume Ratio of Anticube given Height using the formula - Surface to Volume Ratio of Anticube = (2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Height of Anticube/(sqrt(1-1/(2+sqrt(2))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Anticube?

Here are the different ways to Calculate Surface to Volume Ratio of Anticube-

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

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

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

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

Surface to Volume Ratio of Anticube given Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Anticube given Height can be measured.

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