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Space Diagonal of Octahedron given Insphere Radius Formula

GoSpace Diagonal of Octahedron Formula

GoSpace Diagonal of Octahedron given Midsphere 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{3} \cdot r i

d_Space - Space Diagonal of Octahedron?r_i - Insphere Radius of Octahedron?

Space Diagonal of Octahedron given Insphere Radius Example

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

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

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

13.8564 = 2 \cdot \sqrt{3} \cdot 4

13.8564m = 2 \cdot \sqrt{3} \cdot 4m

13.8564 = 2 \cdot \sqrt{3} \cdot 4

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Space Diagonal of Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = 2 \cdot \sqrt{3} \cdot 4m

Next Step Prepare to Evaluate

∴

d Space = 2 \cdot \sqrt{3} \cdot 4

Next Step Evaluate

∴

d Space = 13.856406460551m

LAST Step Rounding Answer

∴

d Space = 13.8564m

Space Diagonal of Octahedron given Insphere 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

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Midsphere Radius

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

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 Insphere Radius?

Space Diagonal of Octahedron given Insphere Radius evaluator uses Space Diagonal of Octahedron = 2*sqrt(3)*Insphere Radius of Octahedron to evaluate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron given Insphere 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 insphere radius of the Octahedron. Space Diagonal of Octahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Octahedron given Insphere Radius

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

The formula of Space Diagonal of Octahedron given Insphere Radius is expressed as Space Diagonal of Octahedron = 2*sqrt(3)*Insphere Radius of Octahedron. Here is an example- 13.85641 = 2*sqrt(3)*4.

How to calculate Space Diagonal of Octahedron given Insphere Radius?

With Insphere Radius of Octahedron (r_i) we can find Space Diagonal of Octahedron given Insphere Radius using the formula - Space Diagonal of Octahedron = 2*sqrt(3)*Insphere Radius of Octahedron. This formula also uses Square Root (sqrt) 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(2)*Midsphere Radius of Octahedron
Space Diagonal of Octahedron=sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)

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

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

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

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

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