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Space Diagonal of Icosahedron given Face Perimeter Formula

GoSpace Diagonal of Icosahedron given Circumsphere Radius Formula

GoSpace Diagonal of Icosahedron given Insphere Radius Formula

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

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{P Face}{6}

d_Space - Space Diagonal of Icosahedron?P_Face - Face Perimeter of Icosahedron?

Space Diagonal of Icosahedron given Face Perimeter Example

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Here is how the Space Diagonal of Icosahedron given Face Perimeter equation looks like with Values.

Here is how the Space Diagonal of Icosahedron given Face Perimeter equation looks like with Units.

Here is how the Space Diagonal of Icosahedron given Face Perimeter equation looks like.

19.0211 = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{6}

19.0211m = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30m}{6}

19.0211 = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{6}

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Space Diagonal of Icosahedron given Face Perimeter Solution

Follow our step by step solution on how to calculate Space Diagonal of Icosahedron given Face Perimeter?

FIRST Step Consider the formula

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{P Face}{6}

Next Step Substitute values of Variables

∴

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30m}{6}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{6}

Next Step Evaluate

∴

d Space = 19.0211303259031m

LAST Step Rounding Answer

∴

d Space = 19.0211m

Space Diagonal of Icosahedron given Face Perimeter Formula Elements

Variables

Functions

Space Diagonal of Icosahedron

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

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Icosahedron

Face Perimeter of Icosahedron

Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of Icosahedron

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 Space Diagonal of Icosahedron

Go Space Diagonal of Icosahedron given Circumsphere Radius

d Space = 2 \cdot r c

Go Space Diagonal of Icosahedron given Insphere Radius

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{6 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Space Diagonal of Icosahedron given Midsphere Radius

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot r m}{1 + \sqrt{5}}

Go Space Diagonal of Icosahedron given Surface to Volume Ratio

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{6 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

How to Evaluate Space Diagonal of Icosahedron given Face Perimeter?

Space Diagonal of Icosahedron given Face Perimeter evaluator uses Space Diagonal of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/6 to evaluate the Space Diagonal of Icosahedron, The Space Diagonal of Icosahedron given Face Perimeter formula is defined as the line connecting two vertices that are not on the same face of the Icosahedron and is calculated using the face perimeter of the Icosahedron. Space Diagonal of Icosahedron is denoted by d_Space symbol.

How to evaluate Space Diagonal of Icosahedron given Face Perimeter using this online evaluator? To use this online evaluator for Space Diagonal of Icosahedron given Face Perimeter, enter Face Perimeter of Icosahedron (P_Face) and hit the calculate button.

FAQs on Space Diagonal of Icosahedron given Face Perimeter

What is the formula to find Space Diagonal of Icosahedron given Face Perimeter?

The formula of Space Diagonal of Icosahedron given Face Perimeter is expressed as Space Diagonal of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/6. Here is an example- 19.02113 = sqrt(10+(2*sqrt(5)))*30/6.

How to calculate Space Diagonal of Icosahedron given Face Perimeter?

With Face Perimeter of Icosahedron (P_Face) we can find Space Diagonal of Icosahedron given Face Perimeter using the formula - Space Diagonal of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/6. This formula also uses Square Root (sqrt) function(s).

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

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

Space Diagonal of Icosahedron=2*Circumsphere Radius of Icosahedron
Space Diagonal of Icosahedron=sqrt(10+(2*sqrt(5)))*(6*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Space Diagonal of Icosahedron=sqrt(10+(2*sqrt(5)))*(2*Midsphere Radius of Icosahedron)/(1+sqrt(5))

Can the Space Diagonal of Icosahedron given Face Perimeter be negative?

No, the Space Diagonal of Icosahedron given Face Perimeter, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Icosahedron given Face Perimeter?

Space Diagonal of Icosahedron given Face Perimeter 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 Icosahedron given Face Perimeter can be measured.

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