FormulaDen.com

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

Volume of Great Dodecahedron given Ridge Length Formula

GoVolume of Great Dodecahedron Formula

GoVolume of Great Dodecahedron given Circumsphere Radius Formula

Fx Copy

LaTeX Copy

Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron. Check FAQs

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot l Ridge}{\sqrt{5} - 1})}^{3}

V - Volume of Great Dodecahedron?l_Ridge - Ridge Length of Great Dodecahedron?

Volume of Great Dodecahedron given Ridge Length Example

With values

With units

Only example

Here is how the Volume of Great Dodecahedron given Ridge Length equation looks like with Values.

Here is how the Volume of Great Dodecahedron given Ridge Length equation looks like with Units.

Here is how the Volume of Great Dodecahedron given Ridge Length equation looks like.

1413.7384 = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot 6}{\sqrt{5} - 1})}^{3}

1413.7384m³ = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot 6m}{\sqrt{5} - 1})}^{3}

1413.7384 = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot 6}{\sqrt{5} - 1})}^{3}

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 Volume of Great Dodecahedron given Ridge Length

Volume of Great Dodecahedron given Ridge Length Solution

Follow our step by step solution on how to calculate Volume of Great Dodecahedron given Ridge Length?

FIRST Step Consider the formula

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot l Ridge}{\sqrt{5} - 1})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot 6m}{\sqrt{5} - 1})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{2 \cdot 6}{\sqrt{5} - 1})}^{3}

Next Step Evaluate

∴

V = 1413.73835392494m³

LAST Step Rounding Answer

∴

V = 1413.7384m³

Volume of Great Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Volume of Great Dodecahedron

Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Dodecahedron

Ridge Length of Great Dodecahedron

Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great 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 Volume of Great Dodecahedron

Go Volume of Great Dodecahedron

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {l e}^{3}

Go Volume of Great Dodecahedron given Circumsphere Radius

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{3}

Go Volume of Great Dodecahedron given Pyramidal Height

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})})}^{3}

Go Volume of Great Dodecahedron given Total Surface Area

V = \frac{5}{4} \cdot (\sqrt{5} - 1) \cdot {(\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

How to Evaluate Volume of Great Dodecahedron given Ridge Length?

Volume of Great Dodecahedron given Ridge Length evaluator uses Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3 to evaluate the Volume of Great Dodecahedron, Volume of Great Dodecahedron given Ridge Length formula is defined as athe total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron, calculated using its ridge length. Volume of Great Dodecahedron is denoted by V symbol.

How to evaluate Volume of Great Dodecahedron given Ridge Length using this online evaluator? To use this online evaluator for Volume of Great Dodecahedron given Ridge Length, enter Ridge Length of Great Dodecahedron (l_Ridge) and hit the calculate button.

FAQs on Volume of Great Dodecahedron given Ridge Length

What is the formula to find Volume of Great Dodecahedron given Ridge Length?

The formula of Volume of Great Dodecahedron given Ridge Length is expressed as Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3. Here is an example- 1413.738 = 5/4*(sqrt(5)-1)*((2*6)/(sqrt(5)-1))^3.

How to calculate Volume of Great Dodecahedron given Ridge Length?

With Ridge Length of Great Dodecahedron (l_Ridge) we can find Volume of Great Dodecahedron given Ridge Length using the formula - Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Great Dodecahedron?

Here are the different ways to Calculate Volume of Great Dodecahedron-

Volume of Great Dodecahedron=5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron^3
Volume of Great Dodecahedron=5/4*(sqrt(5)-1)*((4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))))^3
Volume of Great Dodecahedron=5/4*(sqrt(5)-1)*((6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))))^3

Can the Volume of Great Dodecahedron given Ridge Length be negative?

No, the Volume of Great Dodecahedron given Ridge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Great Dodecahedron given Ridge Length?

Volume of Great Dodecahedron given Ridge Length is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Great Dodecahedron given Ridge Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit