FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio Formula

GoLong Edge of Pentagonal Icositetrahedron given Short Edge Formula

GoLong Edge of Pentagonal Icositetrahedron Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

l_e(Long) - Long Edge of Pentagonal Icositetrahedron?R_A/V - SA:V of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

7.2777 = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

7.2777m = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

7.2777 = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio

Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}})

Next Step Substitute values of Constants

∴

l e(Long) = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{\sqrt{1.8393 + 1}}{2} \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

Next Step Evaluate

∴

l e(Long) = 7.27767962134648m

LAST Step Rounding Answer

∴

l e(Long) = 7.2777m

Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio Formula Elements

Variables

Constants

Functions

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

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

Tribonacci constant