FormulaDen.com

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

Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Formula

GoShort Edge of Pentagonal Trapezohedron Formula

GoShort Edge of Pentagonal Trapezohedron given Long Edge Formula

Fx Copy

LaTeX Copy

Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron. Check FAQs

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

l_e(Short) - Short Edge of Pentagonal Trapezohedron?AV - SA:V of Pentagonal Trapezohedron?

Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

6.7354 = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

6.7354m = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

6.7354 = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

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 Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio

Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4m⁻¹})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot 0.4})

Next Step Evaluate

∴

l e(Short) = 6.73541964869378m

LAST Step Rounding Answer

∴

l e(Short) = 6.7354m

Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Short Edge of Pentagonal Trapezohedron

Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron is the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Pentagonal Trapezohedron

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 Short Edge of Pentagonal Trapezohedron

Go Short Edge of Pentagonal Trapezohedron

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot l e(Antiprism)

Go Short Edge of Pentagonal Trapezohedron given Long Edge

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})

Go Short Edge of Pentagonal Trapezohedron given Height

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Go Short Edge of Pentagonal Trapezohedron given Total Surface Area

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

How to Evaluate Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio evaluator uses Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)) to evaluate the Short Edge of Pentagonal Trapezohedron, The Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio formula is defined as the length of any of the shorter edges of the Pentagonal Trapezohedron, calculated using its surface to volume ratio. Short Edge of Pentagonal Trapezohedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio, enter SA:V of Pentagonal Trapezohedron (AV) and hit the calculate button.

FAQs on Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio

What is the formula to find Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

The formula of Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio is expressed as Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)). Here is an example- 6.73542 = ((sqrt(5)-1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*0.4)).

How to calculate Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

With SA:V of Pentagonal Trapezohedron (AV) we can find Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio using the formula - Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*SA:V of Pentagonal Trapezohedron)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Pentagonal Trapezohedron?

Here are the different ways to Calculate Short Edge of Pentagonal Trapezohedron-

Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))

Can the Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio be negative?

No, the Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio?

Short Edge of Pentagonal Trapezohedron 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 Short Edge of Pentagonal Trapezohedron given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit