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Space Diagonal of Octahedron given Midsphere Radius Formula

GoSpace Diagonal of Octahedron Formula

GoSpace Diagonal of Octahedron given Insphere Radius Formula

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

d Space = 2 \cdot \sqrt{2} \cdot r m

d_Space - Space Diagonal of Octahedron?r_m - Midsphere Radius of Octahedron?

Space Diagonal of Octahedron given Midsphere Radius Example

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Here is how the Space Diagonal of Octahedron given Midsphere Radius equation looks like with Values.

Here is how the Space Diagonal of Octahedron given Midsphere Radius equation looks like with Units.

Here is how the Space Diagonal of Octahedron given Midsphere Radius equation looks like.

14.1421 = 2 \cdot \sqrt{2} \cdot 5

14.1421m = 2 \cdot \sqrt{2} \cdot 5m

14.1421 = 2 \cdot \sqrt{2} \cdot 5

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Space Diagonal of Octahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Space Diagonal of Octahedron given Midsphere Radius?

FIRST Step Consider the formula

d Space = 2 \cdot \sqrt{2} \cdot r m

Next Step Substitute values of Variables

∴

d Space = 2 \cdot \sqrt{2} \cdot 5m

Next Step Prepare to Evaluate

∴

d Space = 2 \cdot \sqrt{2} \cdot 5

Next Step Evaluate

∴

d Space = 14.142135623731m

LAST Step Rounding Answer

∴

d Space = 14.1421m

Space Diagonal of Octahedron given Midsphere Radius Formula Elements

Variables

Functions

Space Diagonal of Octahedron

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

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Octahedron

Midsphere Radius of Octahedron

Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Octahedron

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 Octahedron

Go Space Diagonal of Octahedron

d Space = \sqrt{2} \cdot l e

Go Space Diagonal of Octahedron given Insphere Radius

d Space = 2 \cdot \sqrt{3} \cdot r i

Go Space Diagonal of Octahedron given Volume

d Space = \sqrt{2} \cdot {(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

How to Evaluate Space Diagonal of Octahedron given Midsphere Radius?

Space Diagonal of Octahedron given Midsphere Radius evaluator uses Space Diagonal of Octahedron = 2*sqrt(2)*Midsphere Radius of Octahedron to evaluate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron given Midsphere Radius formula is defined as the line connecting two vertices that are not on the same face of the Octahedron, and is calculated using the midsphere radius of the Octahedron. Space Diagonal of Octahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Octahedron given Midsphere Radius

What is the formula to find Space Diagonal of Octahedron given Midsphere Radius?

The formula of Space Diagonal of Octahedron given Midsphere Radius is expressed as Space Diagonal of Octahedron = 2*sqrt(2)*Midsphere Radius of Octahedron. Here is an example- 14.14214 = 2*sqrt(2)*5.

How to calculate Space Diagonal of Octahedron given Midsphere Radius?

With Midsphere Radius of Octahedron (r_m) we can find Space Diagonal of Octahedron given Midsphere Radius using the formula - Space Diagonal of Octahedron = 2*sqrt(2)*Midsphere Radius of Octahedron. This formula also uses Square Root Function function(s).

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

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

Space Diagonal of Octahedron=sqrt(2)*Edge Length of Octahedron
Space Diagonal of Octahedron=2*sqrt(3)*Insphere Radius of Octahedron
Space Diagonal of Octahedron=sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)

Can the Space Diagonal of Octahedron given Midsphere Radius be negative?

No, the Space Diagonal of Octahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Octahedron given Midsphere Radius?

Space Diagonal of Octahedron given Midsphere 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 Octahedron given Midsphere Radius can be measured.

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