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Surface to Volume Ratio of Snub Cube given Circumsphere Radius Formula

GoSurface to Volume Ratio of Snub Cube Formula

GoSurface to Volume Ratio of Snub Cube given Total Surface Area Formula

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Surface to Volume Ratio of Snub Cube is the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube. Check FAQs

R A/V = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot (\sqrt{[Tribonacci_C] + 1}))}{3 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot \frac{r c}{\sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}}}}

R_A/V - Surface to Volume Ratio of Snub Cube?r_c - Circumsphere Radius of Snub Cube?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Surface to Volume Ratio of Snub Cube given Circumsphere Radius Example

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Here is how the Surface to Volume Ratio of Snub Cube given Circumsphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Snub Cube given Circumsphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Snub Cube given Circumsphere Radius equation looks like.

0.2601 = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot (\sqrt{1.8393 + 1}))}{3 \cdot \sqrt{2 - 1.8393}} \cdot \frac{13}{\sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}}}}

0.2601m⁻¹ = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot (\sqrt{1.8393 + 1}))}{3 \cdot \sqrt{2 - 1.8393}} \cdot \frac{13m}{\sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}}}}

0.2601 = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot (\sqrt{1.8393 + 1}))}{3 \cdot \sqrt{2 - 1.8393}} \cdot \frac{13}{\sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}}}}

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3D Geometry » fx Surface to Volume Ratio of Snub Cube given Circumsphere Radius

Surface to Volume Ratio of Snub Cube given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Snub Cube given Circumsphere Radius?

FIRST Step Consider the formula

R A/V = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot (\sqrt{[Tribonacci_C] + 1}))}{3 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot \frac{r c}{\sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{[Tribonacci_C] - 1}) + (4 \cdot (\sqrt{[Tribonacci_C] + 1}))}{3 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot \frac{13m}{\sqrt{\frac{3 - [Tribonacci_C]}{4 \cdot (2 - [Tribonacci_C])}}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot (\sqrt{1.8393 + 1}))}{3 \cdot \sqrt{2 - 1.8393}} \cdot \frac{13m}{\sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (3 + (4 \cdot \sqrt{3}))}{\frac{(3 \cdot \sqrt{1.8393 - 1}) + (4 \cdot (\sqrt{1.8393 + 1}))}{3 \cdot \sqrt{2 - 1.8393}} \cdot \frac{13}{\sqrt{\frac{3 - 1.8393}{4 \cdot (2 - 1.8393)}}}}

Next Step Evaluate

∴

R A/V = 0.260145132978832m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2601m⁻¹

Surface to Volume Ratio of Snub Cube given Circumsphere Radius Formula Elements

Variables

Constants

Functions

Surface to Volume Ratio of Snub Cube

Surface to Volume Ratio of Snub Cube is the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Snub Cube

Circumsphere Radius of Snub Cube

Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Snub Cube

Tribonacci constant