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Edge Length of Great Dodecahedron given Volume Formula

GoEdge Length of Great Dodecahedron given Ridge Length Formula

GoEdge Length of Great Dodecahedron given Circumsphere Radius Formula

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Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron. Check FAQs

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

l_e - Edge Length of Great Dodecahedron?V - Volume of Great Dodecahedron?

Edge Length of Great Dodecahedron given Volume Example

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

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

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

10.0106 = {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

10.0106m = {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

10.0106 = {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

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Edge Length of Great Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

l e = {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Evaluate

∴

l e = 10.0105923529941m

LAST Step Rounding Answer

∴

l e = 10.0106m

Edge Length of Great Dodecahedron given Volume Formula Elements

Variables

Functions

Edge Length of Great Dodecahedron

Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Dodecahedron

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

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 Edge Length of Great Dodecahedron

Go Edge Length of Great Dodecahedron given Ridge Length

l e = \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Edge Length of Great Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Edge Length of Great Dodecahedron given Pyramidal Height

l e = \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Edge Length of Great Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

How to Evaluate Edge Length of Great Dodecahedron given Volume?

Edge Length of Great Dodecahedron given Volume evaluator uses Edge Length of Great Dodecahedron = ((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3) to evaluate the Edge Length of Great Dodecahedron, Edge Length of Great Dodecahedron given Volume formula is defined as the distance between any pair of adjacent peak vertices of the Great Dodecahedron, calculated using its volume. Edge Length of Great Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Dodecahedron given Volume

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

The formula of Edge Length of Great Dodecahedron given Volume is expressed as Edge Length of Great Dodecahedron = ((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3). Here is an example- 10.01059 = ((4*1550)/(5*(sqrt(5)-1)))^(1/3).

How to calculate Edge Length of Great Dodecahedron given Volume?

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

What are the other ways to Calculate Edge Length of Great Dodecahedron?

Here are the different ways to Calculate Edge Length of Great Dodecahedron-

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

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

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

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

Edge Length of Great Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Great Dodecahedron given Volume can be measured.

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