FormulaDen.com

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

Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron. Check FAQs

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot AV}

l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?AV - SA:V of Great Stellated Dodecahedron?

Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio Example

With values

With units

Only example

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio equation looks like.

42.684 = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

42.684m = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹}

42.684 = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

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 Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio

Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot AV}

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹}

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

Next Step Evaluate

∴

l c(Pentagram) = 42.6839705979905m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.684m

Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Great Stellated Dodecahedron

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 Pentagram Chord of Great Stellated Dodecahedron

Go Pentagram Chord of Great Stellated Dodecahedron

l c(Pentagram) = (2 + \sqrt{5}) \cdot l e

Go Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Go Pentagram Chord of Great Stellated Dodecahedron given Circumradius

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

How to Evaluate Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio?

Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron) to evaluate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its surface to volume ratio. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to evaluate Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio, enter SA:V of Great Stellated Dodecahedron (AV) and hit the calculate button.

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio

What is the formula to find Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio?

The formula of Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). Here is an example- 42.68397 = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7).

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio?

With SA:V of Great Stellated Dodecahedron (AV) we can find Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio using the formula - Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagram Chord of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pentagram Chord of Great Stellated Dodecahedron-

Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio be negative?

No, the Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio?

Pentagram Chord of Great Stellated Dodecahedron 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 Pentagram Chord of Great Stellated Dodecahedron given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit