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Edge Length of Stellated Octahedron given Surface to Volume Ratio Formula

GoEdge Length of Stellated Octahedron given Edge Length of Peaks Formula

GoEdge Length of Stellated Octahedron given Circumsphere Radius Formula

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Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices of the Stellated Octahedron. Check FAQs

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

l_e - Edge Length of Stellated Octahedron?R_A/V - Surface to Volume Ratio of Stellated Octahedron?

Edge Length of Stellated Octahedron given Surface to Volume Ratio Example

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Here is how the Edge Length of Stellated Octahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Edge Length of Stellated Octahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Edge Length of Stellated Octahedron given Surface to Volume Ratio equation looks like.

10.4978 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4}

10.4978m = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹}

10.4978 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4}

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Edge Length of Stellated Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Edge Length of Stellated Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4}

Next Step Evaluate

∴

l e = 10.4978131833565m

LAST Step Rounding Answer

∴

l e = 10.4978m

Edge Length of Stellated Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Stellated Octahedron

Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices of the Stellated Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated 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 Stellated 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 Edge Length of Stellated Octahedron

Go Edge Length of Stellated Octahedron given Edge Length of Peaks

l e = 2 \cdot l e(Peaks)

Go Edge Length of Stellated Octahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{6}}

Go Edge Length of Stellated Octahedron given Total Surface Area

l e = \sqrt{\frac{2 \cdot TSA}{3 \cdot \sqrt{3}}}

Go Edge Length of Stellated Octahedron given Volume

l e = {(\frac{8 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

How to Evaluate Edge Length of Stellated Octahedron given Surface to Volume Ratio?

Edge Length of Stellated Octahedron given Surface to Volume Ratio evaluator uses Edge Length of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron) to evaluate the Edge Length of Stellated Octahedron, Edge Length of Stellated Octahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Stellated Octahedron, calculated using its surface to volume ratio. Edge Length of Stellated Octahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Stellated Octahedron given Surface to Volume Ratio

What is the formula to find Edge Length of Stellated Octahedron given Surface to Volume Ratio?

The formula of Edge Length of Stellated Octahedron given Surface to Volume Ratio is expressed as Edge Length of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron). Here is an example- 10.49781 = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4).

How to calculate Edge Length of Stellated Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Stellated Octahedron (R_A/V) we can find Edge Length of Stellated Octahedron given Surface to Volume Ratio using the formula - Edge Length of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Stellated Octahedron?

Here are the different ways to Calculate Edge Length of Stellated Octahedron-

Edge Length of Stellated Octahedron=2*Edge Length of Peaks of Stellated Octahedron
Edge Length of Stellated Octahedron=(4*Circumsphere Radius of Stellated Octahedron)/sqrt(6)
Edge Length of Stellated Octahedron=sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))

Can the Edge Length of Stellated Octahedron given Surface to Volume Ratio be negative?

No, the Edge Length of Stellated Octahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Stellated Octahedron given Surface to Volume Ratio?

Edge Length of Stellated Octahedron 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 Edge Length of Stellated Octahedron given Surface to Volume Ratio can be measured.

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