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Surface to Volume Ratio of Pentagonal Icositetrahedron given Long Edge Formula

GoSurface to Volume Ratio of Pentagonal Icositetrahedron Formula

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}}}{(\frac{2 \cdot l e(Long)}{\sqrt{[Tribonacci_C] + 1}}) \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}}

R_A/V - SA:V of Pentagonal Icositetrahedron?l_e(Long) - Long Edge of Pentagonal Icositetrahedron?[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 Long Edge Example

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

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

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

0.2729 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(\frac{2 \cdot 8}{\sqrt{1.8393 + 1}}) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

0.2729m⁻¹ = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(\frac{2 \cdot 8m}{\sqrt{1.8393 + 1}}) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

0.2729 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{(\frac{2 \cdot 8}{\sqrt{1.8393 + 1}}) \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 Long Edge Solution

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

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}}}{(\frac{2 \cdot l e(Long)}{\sqrt{[Tribonacci_C] + 1}}) \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}}}{(\frac{2 \cdot 8m}{\sqrt{[Tribonacci_C] + 1}}) \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}}}{(\frac{2 \cdot 8m}{\sqrt{1.8393 + 1}}) \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}}}{(\frac{2 \cdot 8}{\sqrt{1.8393 + 1}}) \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}}

Next Step Evaluate

∴

R A/V = 0.272912985800493m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2729m⁻¹

Surface to Volume Ratio of Pentagonal Icositetrahedron given Long Edge 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

Long Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Icositetrahedron

Tribonacci constant