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Space Diagonal of Dodecahedron given Circumsphere Radius Formula

GoSpace Diagonal of Dodecahedron Formula

GoSpace Diagonal of Dodecahedron given Volume Formula

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The Space Diagonal of Dodecahedron is the line connecting two vertices that are not on the same face of Dodecahedron. Check FAQs

d Space = 2 \cdot r c

d_Space - Space Diagonal of Dodecahedron?r_c - Circumsphere Radius of Dodecahedron?

Space Diagonal of Dodecahedron given Circumsphere Radius Example

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Here is how the Space Diagonal of Dodecahedron given Circumsphere Radius equation looks like with Values.

Here is how the Space Diagonal of Dodecahedron given Circumsphere Radius equation looks like with Units.

Here is how the Space Diagonal of Dodecahedron given Circumsphere Radius equation looks like.

28 = 2 \cdot 14

28m = 2 \cdot 14m

28 = 2 \cdot 14

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Space Diagonal of Dodecahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Space Diagonal of Dodecahedron given Circumsphere Radius?

FIRST Step Consider the formula

d Space = 2 \cdot r c

Next Step Substitute values of Variables

∴

d Space = 2 \cdot 14m

Next Step Prepare to Evaluate

∴

d Space = 2 \cdot 14

LAST Step Evaluate

∴

d Space = 28m

Space Diagonal of Dodecahedron given Circumsphere Radius Formula Elements

Variables

Space Diagonal of Dodecahedron

The Space Diagonal of Dodecahedron is the line connecting two vertices that are not on the same face of Dodecahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Dodecahedron

Circumsphere Radius of Dodecahedron

Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Dodecahedron

Other Formulas to find Space Diagonal of Dodecahedron

Go Space Diagonal of Dodecahedron

d Space = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{2}

Go Space Diagonal of Dodecahedron given Volume

d Space = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{2} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Space Diagonal of Dodecahedron given Total Surface Area

d Space = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Space Diagonal of Dodecahedron given Face Area

d Space = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{12 \cdot A Face}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Space Diagonal of Dodecahedron given Circumsphere Radius?

Space Diagonal of Dodecahedron given Circumsphere Radius evaluator uses Space Diagonal of Dodecahedron = 2*Circumsphere Radius of Dodecahedron to evaluate the Space Diagonal of Dodecahedron, The Space Diagonal of Dodecahedron given Circumsphere Radius formula is defined as a line connecting two vertices that are not on the same face of Dodecahedron, and calculated using circumsphere radius of Dodecahedron. Space Diagonal of Dodecahedron is denoted by d_Space symbol.

How to evaluate Space Diagonal of Dodecahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Space Diagonal of Dodecahedron given Circumsphere Radius, enter Circumsphere Radius of Dodecahedron (r_c) and hit the calculate button.

FAQs on Space Diagonal of Dodecahedron given Circumsphere Radius

What is the formula to find Space Diagonal of Dodecahedron given Circumsphere Radius?

The formula of Space Diagonal of Dodecahedron given Circumsphere Radius is expressed as Space Diagonal of Dodecahedron = 2*Circumsphere Radius of Dodecahedron. Here is an example- 28 = 2*14.

How to calculate Space Diagonal of Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Dodecahedron (r_c) we can find Space Diagonal of Dodecahedron given Circumsphere Radius using the formula - Space Diagonal of Dodecahedron = 2*Circumsphere Radius of Dodecahedron.

What are the other ways to Calculate Space Diagonal of Dodecahedron?

Here are the different ways to Calculate Space Diagonal of Dodecahedron-

Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/2
Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))/2*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Space Diagonal of Dodecahedron=sqrt(3)*(1+sqrt(5))/2*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Space Diagonal of Dodecahedron given Circumsphere Radius be negative?

No, the Space Diagonal of Dodecahedron given Circumsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Dodecahedron given Circumsphere Radius?

Space Diagonal of Dodecahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Dodecahedron given Circumsphere Radius can be measured.

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