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Surface to Volume Ratio of Octahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Octahedron given Space Diagonal Formula

GoSurface to Volume Ratio of Octahedron given Total Surface Area Formula

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The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron. Check FAQs

R A/V = \frac{3 \cdot \sqrt{6}}{2 \cdot r m}

R_A/V - Surface to Volume Ratio of Octahedron?r_m - Midsphere Radius of Octahedron?

Surface to Volume Ratio of Octahedron given Midsphere Radius Example

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Here is how the Surface to Volume Ratio of Octahedron given Midsphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Octahedron given Midsphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Octahedron given Midsphere Radius equation looks like.

0.7348 = \frac{3 \cdot \sqrt{6}}{2 \cdot 5}

0.7348m⁻¹ = \frac{3 \cdot \sqrt{6}}{2 \cdot 5m}

0.7348 = \frac{3 \cdot \sqrt{6}}{2 \cdot 5}

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Surface to Volume Ratio of Octahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Octahedron given Midsphere Radius?

FIRST Step Consider the formula

R A/V = \frac{3 \cdot \sqrt{6}}{2 \cdot r m}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot \sqrt{6}}{2 \cdot 5m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot \sqrt{6}}{2 \cdot 5}

Next Step Evaluate

∴

R A/V = 0.734846922834953m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7348m⁻¹

Surface to Volume Ratio of Octahedron given Midsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Octahedron

The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Octahedron

Midsphere Radius of Octahedron

Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Octahedron

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 Octahedron

Go Surface to Volume Ratio of Octahedron given Space Diagonal

R A/V = \frac{6 \cdot \sqrt{3}}{d Space}

Go Surface to Volume Ratio of Octahedron given Total Surface Area

R A/V = \frac{3 \cdot \sqrt{6}}{\sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}}

Go Surface to Volume Ratio of Octahedron given Volume

R A/V = \frac{3 \cdot \sqrt{6}}{{(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}

Go Surface to Volume Ratio of Octahedron given Insphere Radius

R A/V = \frac{3}{r i}

How to Evaluate Surface to Volume Ratio of Octahedron given Midsphere Radius?

Surface to Volume Ratio of Octahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Octahedron = (3*sqrt(6))/(2*Midsphere Radius of Octahedron) to evaluate the Surface to Volume Ratio of Octahedron, The Surface to Volume Ratio of Octahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the midsphere radius of the Octahedron. Surface to Volume Ratio of Octahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Octahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Octahedron given Midsphere Radius, enter Midsphere Radius of Octahedron (r_m) and hit the calculate button.

FAQs on Surface to Volume Ratio of Octahedron given Midsphere Radius

What is the formula to find Surface to Volume Ratio of Octahedron given Midsphere Radius?

The formula of Surface to Volume Ratio of Octahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Octahedron = (3*sqrt(6))/(2*Midsphere Radius of Octahedron). Here is an example- 0.734847 = (3*sqrt(6))/(2*5).

How to calculate Surface to Volume Ratio of Octahedron given Midsphere Radius?

With Midsphere Radius of Octahedron (r_m) we can find Surface to Volume Ratio of Octahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Octahedron = (3*sqrt(6))/(2*Midsphere Radius of Octahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Octahedron=(6*sqrt(3))/Space Diagonal of Octahedron
Surface to Volume Ratio of Octahedron=(3*sqrt(6))/sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))
Surface to Volume Ratio of Octahedron=(3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3)

Can the Surface to Volume Ratio of Octahedron given Midsphere Radius be negative?

No, the Surface to Volume Ratio of Octahedron given Midsphere Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Octahedron given Midsphere Radius?

Surface to Volume Ratio of Octahedron given Midsphere Radius 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 Octahedron given Midsphere Radius can be measured.

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