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Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius Formula

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GoSurface to Volume Ratio of Pentagonal Icositetrahedron given Short Edge Formula

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SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area. Check FAQs

R A/V = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{(2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])} \cdot r i) \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}}

R_A/V - SA:V of Pentagonal Icositetrahedron?r_i - Insphere Radius of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[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 Pentagonal Icositetrahedron given Insphere Radius Example

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Here is how the Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius equation looks like.

0.25 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)} \cdot 12) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

0.25m⁻¹ = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)} \cdot 12m) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

0.25 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)} \cdot 12) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

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Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius?

FIRST Step Consider the formula

R A/V = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{(2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])} \cdot r i) \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{(2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])} \cdot 12m) \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)} \cdot 12m) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)} \cdot 12) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

Next Step Evaluate

∴

R A/V = 0.250000000000002m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.25m⁻¹

Surface to Volume Ratio of Pentagonal Icositetrahedron given Insphere Radius Formula Elements

Variables

Constants

Functions

SA:V of Pentagonal Icositetrahedron

SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Pentagonal Icositetrahedron

Insphere Radius of Pentagonal Icositetrahedron

Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Pentagonal Icositetrahedron

Tribonacci constant